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122012350131 = 37109116345833
BaseRepresentation
bin111000110100010000…
…0001011011010110011
3102122221020202120220210
41301220200023122303
53444340130201011
6132015100035203
711546402602260
oct1615040133263
9378836676823
10122012350131
1147821877601
121b791832b03
13b676096ba9
145c966d8267
1532919a76a6
hex1c6880b6b3

122012350131 has 32 divisors (see below), whose sum is σ = 187794731520. Its totient is φ = 69020792064.

The previous prime is 122012350123. The next prime is 122012350157. The reversal of 122012350131 is 131053210221.

It is not a de Polignac number, because 122012350131 - 23 = 122012350123 is a prime.

It is a super-2 number, since 2×1220123501312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122012350098 and 122012350107.

It is not an unprimeable number, because it can be changed into a prime (122012350111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2639191 + ... + 2685023.

It is an arithmetic number, because the mean of its divisors is an integer number (5868585360).

Almost surely, 2122012350131 is an apocalyptic number.

122012350131 is a deficient number, since it is larger than the sum of its proper divisors (65782381389).

122012350131 is a wasteful number, since it uses less digits than its factorization.

122012350131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47115.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 122012350131 its reverse (131053210221), we get a palindrome (253065560352).

The spelling of 122012350131 in words is "one hundred twenty-two billion, twelve million, three hundred fifty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 109 327 763 1163 2289 3489 8141 24423 45833 126767 137499 320831 380301 887369 962493 2662107 4995797 14987391 34970579 53303779 104911737 159911337 373126453 1119379359 5810111911 17430335733 40670783377 122012350131