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120222021101022 = 233295314291013641
BaseRepresentation
bin11011010101011101011110…
…110111001010010111011110
3120202200010001100122120002000
4123111131132313022113132
5111224204144400213042
61103405122315343130
734215516520332651
oct3325353667122736
9522603040576060
10120222021101022
1135340966803555
12115979bb751aa6
135210b70a78429
142198ac3a25898
15dd73b5ec574c
hex6d575edca5de

120222021101022 has 128 divisors (see below), whose sum is σ = 281784366864000. Its totient is φ = 37935501327360.

The previous prime is 120222021101011. The next prime is 120222021101041. The reversal of 120222021101022 is 220101120222021.

It is a happy number.

120222021101022 is a `hidden beast` number, since 1 + 202 + 220 + 211 + 0 + 10 + 22 = 666.

It is a super-2 number, since 2×1202220211010222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120222021100986 and 120222021101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118097322 + ... + 119110962.

It is an arithmetic number, because the mean of its divisors is an integer number (2201440366125).

Almost surely, 2120222021101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222021101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140892183432000).

120222021101022 is an abundant number, since it is smaller than the sum of its proper divisors (161562345762978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120222021101022 is a wasteful number, since it uses less digits than its factorization.

120222021101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015163 (or 1015157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120222021101022 its reverse (220101120222021), we get a palindrome (340323141323043).

The spelling of 120222021101022 in words is "one hundred twenty trillion, two hundred twenty-two billion, twenty-one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 87 106 159 174 261 318 477 522 783 954 1429 1431 1537 1566 2858 2862 3074 4287 4611 8574 9222 12861 13833 25722 27666 38583 41441 41499 75737 77166 82882 82998 124323 151474 227211 248646 372969 454422 681633 745938 1013641 1118907 1363266 2027282 2044899 2196373 2237814 3040923 4089798 4392746 6081846 6589119 9122769 13178238 18245538 19767357 27368307 29395589 39534714 53722973 54736614 58791178 59302071 88186767 107445946 118604142 161168919 176373534 264560301 322337838 483506757 529120602 793680903 967013514 1448492989 1450520271 1557966217 1587361806 2896985978 2901040542 3115932434 4345478967 4673898651 8690957934 9347797302 13036436901 14021695953 26072873802 28043391906 39109310703 42006296681 42065087859 76770128417 78218621406 84012593362 84130175718 126018890043 153540256834 230310385251 252037780086 378056670129 460620770502 690931155753 756113340258 1134170010387 1381862311506 2072793467259 2226333724093 2268340020774 4145586934518 4452667448186 6679001172279 13358002344558 20037003516837 40074007033674 60111010550511 120222021101022