122034413000000 has 98 divisors (see below), whose sum is σ = 302698675758918. Its totient is φ = 48813764800000.

The previous prime is 122034412999991. The next prime is 122034413000009. The reversal of 122034413000000 is 314430221.

It is an interprime number because it is at equal distance from previous prime (122034412999991) and next prime (122034413000009).

It can be written as a sum of positive squares in 7 ways, for example, as 114056590153984 + 7977822846016 = 10679728^2 + 2824504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122034413000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 60017207 + ... + 62017206.

Almost surely, 2^{122034413000000} is an apocalyptic number.

122034413000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122034413000000 is an abundant number, since it is smaller than the sum of its proper divisors (180664262758918).

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

122034413000000 is an frugal number, since it uses more digits than its factorization.

122034413000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122034455 (or 122034420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122034413000000 its reverse (314430221), we get a palindrome (122034727430221).

The spelling of 122034413000000 in words is "one hundred twenty-two trillion, thirty-four billion, four hundred thirteen million", and thus it is an aban number.