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122112203022 = 2351714779981
BaseRepresentation
bin111000110111001110…
…1000101100100001110
3102200012012122122100000
41301232131011210032
54000041210444042
6132033024145130
711552024412465
oct1615635054416
9380165578300
10122112203022
1147873178557
121b7bb1681a6
13b690988744
145ca5a8b9dc
15329a62d74c
hex1c6e74590e

122112203022 has 48 divisors (see below), whose sum is σ = 290515326192. Its totient is φ = 38309708160.

The previous prime is 122112203011. The next prime is 122112203041. The reversal of 122112203022 is 220302211221.

It is a super-2 number, since 2×1221122030222 (a number of 23 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 = 122112202986 and 122112203004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7381729 + ... + 7398252.

It is an arithmetic number, because the mean of its divisors is an integer number (6052402629).

Almost surely, 2122112203022 is an apocalyptic number.

122112203022 is an abundant number, since it is smaller than the sum of its proper divisors (168403123170).

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

122112203022 is a wasteful number, since it uses less digits than its factorization.

122112203022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780015 (or 14780003 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122112203022 its reverse (220302211221), we get a palindrome (342414414243).

The spelling of 122112203022 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 14779981 29559962 44339943 88679886 133019829 251259677 266039658 399059487 502519354 753779031 798118974 1197178461 1507558062 2261337093 2394356922 3591535383 4522674186 6784011279 7183070766 13568022558 20352033837 40704067674 61056101511 122112203022