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2022122201120 = 25576772666863
BaseRepresentation
bin11101011011001111111…
…000000010000000100000
321011022110011200002212022
4131123033320002000200
5231112301240413440
64144541120321012
7266044034053160
oct35331770020040
97138404602768
102022122201120
1170a6392a1a2a
12287a98773168
131188ba8010c8
146dc2a9605a0
15379001e8cb5
hex1d6cfe02020

2022122201120 has 96 divisors (see below), whose sum is σ = 5467796587008. Its totient is φ = 692274705408.

The previous prime is 2022122201119. The next prime is 2022122201153. The reversal of 2022122201120 is 211022212202.

It is a happy number.

It is a super-3 number, since 3×20221222011203 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575192 + ... + 2091671.

It is an arithmetic number, because the mean of its divisors is an integer number (56956214448).

Almost surely, 22022122201120 is an apocalyptic number.

2022122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022122201120 is an abundant number, since it is smaller than the sum of its proper divisors (3445674385888).

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

2022122201120 is a wasteful number, since it uses less digits than its factorization.

2022122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667562 (or 2667554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2022122201120 its reverse (211022212202), we get a palindrome (2233144413322).

The spelling of 2022122201120 in words is "two trillion, twenty-two billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 677 1120 1354 2708 3385 4739 5416 6770 9478 10832 13540 18956 21664 23695 27080 37912 47390 54160 75824 94780 108320 151648 189560 379120 758240 2666863 5333726 10667452 13334315 18668041 21334904 26668630 37336082 42669808 53337260 74672164 85339616 93340205 106674520 149344328 186680410 213349040 298688656 373360820 426698080 597377312 746721640 1493443280 1805466251 2986886560 3610932502 7221865004 9027331255 12638263757 14443730008 18054662510 25276527514 28887460016 36109325020 50553055028 57774920032 63191318785 72218650040 101106110056 126382637570 144437300080 202212220112 252765275140 288874600160 404424440224 505530550280 1011061100560 2022122201120