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120122121011022 = 232132024412535763
BaseRepresentation
bin11011010100000000011100…
…010110100011111101001110
3120202022120012011000011120200
4123110000130112203331032
5111221040100434323042
61103251201321554330
734205352065513154
oct3324003426437516
9522276164004520
10120122121011022
11353025618082a9
121158057b3459a6
13520460cb7a540
142193d27d713d4
15dd49ba923c4c
hex6d401c5a3f4e

120122121011022 has 48 divisors (see below), whose sum is σ = 280286444085648. Its totient is φ = 36960455468160.

The previous prime is 120122121010897. The next prime is 120122121011047. The reversal of 120122121011022 is 220110121221021.

120122121011022 is a `hidden beast` number, since 1 + 201 + 221 + 210 + 1 + 10 + 22 = 666.

It is a super-2 number, since 2×1201221210110222 (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 = 120122121010986 and 120122121011004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46103313 + ... + 48639075.

It is an arithmetic number, because the mean of its divisors is an integer number (5839300918451).

Almost surely, 2120122121011022 is an apocalyptic number.

120122121011022 is an abundant number, since it is smaller than the sum of its proper divisors (160164323074626).

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

120122121011022 is a wasteful number, since it uses less digits than its factorization.

120122121011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738225 (or 2738222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122121011022 its reverse (220110121221021), we get a palindrome (340232242232043).

The spelling of 120122121011022 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 202441 404882 607323 1214646 1821969 2535763 2631733 3643938 5071526 5263466 7607289 7895199 15214578 15790398 22821867 23685597 32964919 45643734 47371194 65929838 98894757 197789514 296684271 593368542 513342397483 1026684794966 1540027192449 3080054384898 4620081577347 6673451167279 9240163154694 13346902334558 20020353501837 40040707003674 60061060505511 120122121011022