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22120221121002 = 2341762273128981
BaseRepresentation
bin1010000011110010000111…
…11011000001100111101010
32220022200011020120002010000
411001321003323001213222
510344404203101333002
6115013520031003430
74442063462135004
oct501710373014752
986280136502100
1022120221121002
117059151171474
122593069369576
13c45c0a7a31a4
145668a5573374
152855e744661c
hex141e43ec19ea

22120221121002 has 80 divisors (see below), whose sum is σ = 52482558594312. Its totient is φ = 6939511971840.

The previous prime is 22120221121001. The next prime is 22120221121003. The reversal of 22120221121002 is 20012112202122.

It is a happy number.

22120221121002 is a `hidden beast` number, since 221 + 20 + 2 + 211 + 210 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22120221121001) and next prime (22120221121003).

It can be written as a sum of positive squares in 4 ways, for example, as 22071119436081 + 49101684921 = 4697991^2 + 221589^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22120221121001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171435352 + ... + 171564332.

Almost surely, 222120221121002 is an apocalyptic number.

22120221121002 is an abundant number, since it is smaller than the sum of its proper divisors (30362337473310).

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

22120221121002 is a wasteful number, since it uses less digits than its factorization.

22120221121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191285 (or 191276 counting only the distinct ones).

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

Adding to 22120221121002 its reverse (20012112202122), we get a palindrome (42132333323124).

The spelling of 22120221121002 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 62273 124546 128981 186819 257962 373638 386943 560457 773886 1058641 1120914 1160829 1681371 2117282 2192677 2321658 3175923 3362742 3482487 4385354 5044113 6351846 6578031 6964974 9527769 10088226 10447461 13156062 19055538 19734093 20894922 28583307 39468186 57166614 59202279 85749921 118404558 171499842 177606837 355213674 8032033813 16064067626 24096101439 48192202878 72288304317 136544574821 144576608634 216864912951 273089149642 409633724463 433729825902 650594738853 819267448926 1228901173389 1301189477706 2457802346778 3686703520167 7373407040334 11060110560501 22120221121002