30122202100032 has 252 divisors, whose sum is σ = 104156016488160. Its totient is φ = 8606343239424.

The previous prime is 30122202100007. The next prime is 30122202100093. The reversal of 30122202100032 is 23000120222103.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30122202099978 and 30122202100014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19001932 + ... + 20526027.

Almost surely, 2^{30122202100032} is an apocalyptic number.

30122202100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30122202100032 is an abundant number, since it is smaller than the sum of its proper divisors (74033814388128).

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

30122202100032 is an equidigital number, since it uses as much as digits as its factorization.

30122202100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39528000 (or 39527971 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30122202100032 its reverse (23000120222103), we get a palindrome (53122322322135).

The spelling of 30122202100032 in words is "thirty trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, thirty-two".