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122031222131231 = 732912268143373
BaseRepresentation
bin11011101111110010011011…
…101001011000101000011111
3121000002001220200120111011022
4123233302123221120220133
5111443324420331144411
61111312211452314355
734463315305343000
oct3357623351305037
9530061820514138
10122031222131231
1135979172600336
121182a5754729bb
1353126582c8aba
14221c4b23b91a7
15e194a36b9edb
hex6efc9ba58a1f

122031222131231 has 16 divisors (see below), whose sum is σ = 147217720488000. Its totient is φ = 100991356238304.

The previous prime is 122031222131171. The next prime is 122031222131233. The reversal of 122031222131231 is 132131222130221.

It is a de Polignac number, because none of the positive numbers 2k-122031222131231 is a prime.

It is a super-2 number, since 2×1220312221312312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122031222131231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122031222131233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6134061740 + ... + 6134081633.

It is an arithmetic number, because the mean of its divisors is an integer number (9201107530500).

Almost surely, 2122031222131231 is an apocalyptic number.

122031222131231 is a deficient number, since it is larger than the sum of its proper divisors (25186498356769).

122031222131231 is an equidigital number, since it uses as much as digits as its factorization.

122031222131231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268143423 (or 12268143409 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122031222131231 its reverse (132131222130221), we get a palindrome (254162444261452).

The spelling of 122031222131231 in words is "one hundred twenty-two trillion, thirty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 29 49 203 343 1421 9947 12268143373 85877003611 355776157817 601139025277 2490433104719 4207973176939 17433031733033 122031222131231