122133121332030 has 48 divisors (see below), whose sum is σ = 320459382603360. Its totient is φ = 32270035725504.

The previous prime is 122133121332029. The next prime is 122133121332071. The reversal of 122133121332030 is 30233121331221.

122133121332030 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 331 + 2 + 1 + 3 + 320 + 3 + 0 = 666.

It is a super-2 number, since 2×122133121332030² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122133121331985 and 122133121332003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6224919922 + ... + 6224939541.

It is an arithmetic number, because the mean of its divisors is an integer number (6676237137570).

Almost surely, 2^{122133121332030} is an apocalyptic number.

122133121332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122133121332030 is an abundant number, since it is smaller than the sum of its proper divisors (198326261271330).

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

122133121332030 is a wasteful number, since it uses less digits than its factorization.

122133121332030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449859585 (or 12449859582 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122133121332030 its reverse (30233121331221), we get a palindrome (152366242663251).

The spelling of 122133121332030 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, thirty".