122345051134540 has 96 divisors (see below), whose sum is σ = 278151781146624. Its totient is φ = 44934604727040.

The previous prime is 122345051134513. The next prime is 122345051134627. The reversal of 122345051134540 is 45431150543221.

It is a super-2 number, since 2×122345051134540² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122345051134493 and 122345051134502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093804897 + ... + 1093916743.

It is an arithmetic number, because the mean of its divisors is an integer number (2897414386944).

Almost surely, 2^{122345051134540} is an apocalyptic number.

122345051134540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122345051134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139075890573312).

122345051134540 is an abundant number, since it is smaller than the sum of its proper divisors (155806730012084).

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

122345051134540 is a wasteful number, since it uses less digits than its factorization.

122345051134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134087 (or 134085 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 122345051134540 in words is "one hundred twenty-two trillion, three hundred forty-five billion, fifty-one million, one hundred thirty-four thousand, five hundred forty".