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122131012212029 is a prime number
BaseRepresentation
bin11011110001001111010111…
…100110010101010100111101
3121000102121111020012211101202
4123301033113212111110331
5112001443303111241104
61111430113520145245
734503450223132112
oct3361172746252475
9530377436184352
10122131012212029
1135a07520498a97
1211845984a68225
13531bb9c48a3a2
14222325b5d4909
15e1bd9428b51e
hex6f13d799553d

122131012212029 has 2 divisors, whose sum is σ = 122131012212030. Its totient is φ = 122131012212028.

The previous prime is 122131012211959. The next prime is 122131012212043. The reversal of 122131012212029 is 920212210131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92785248900100 + 29345763311929 = 9632510^2 + 5417173^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131012212029 - 220 = 122131011163453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122131012211992 and 122131012212010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131012272029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065506106014 + 61065506106015.

It is an arithmetic number, because the mean of its divisors is an integer number (61065506106015).

Almost surely, 2122131012212029 is an apocalyptic number.

It is an amenable number.

122131012212029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131012212029 is an equidigital number, since it uses as much as digits as its factorization.

122131012212029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 122131012212029 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, twelve million, two hundred twelve thousand, twenty-nine".