122616434031 has 32 divisors (see below), whose sum is σ = 201478717440. Its totient is φ = 64592584704.

The previous prime is 122616434029. The next prime is 122616434081. The reversal of 122616434031 is 130434616221.

It is a happy number.

It is not a de Polignac number, because 122616434031 - 2¹ = 122616434029 is a prime.

It is a super-2 number, since 2×122616434031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122616433983 and 122616434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122616434081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82095 + ... + 501968.

It is an arithmetic number, because the mean of its divisors is an integer number (6296209920).

Almost surely, 2^122616434031 is an apocalyptic number.

122616434031 is a deficient number, since it is larger than the sum of its proper divisors (78862283409).

122616434031 is a wasteful number, since it uses less digits than its factorization.

122616434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584855.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 122616434031 in words is "one hundred twenty-two billion, six hundred sixteen million, four hundred thirty-four thousand, thirty-one".