34401123120 has 160 divisors (see below), whose sum is σ = 131253599232. Its totient is φ = 7258254336.

The previous prime is 34401123101. The next prime is 34401123149. The reversal of 34401123120 is 2132110443.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 765732 + ... + 809411.

Almost surely, 2^34401123120 is an apocalyptic number.

34401123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34401123120 is an abundant number, since it is smaller than the sum of its proper divisors (96852476112).

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

34401123120 is a wasteful number, since it uses less digits than its factorization.

34401123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575179 (or 1575173 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34401123120 its reverse (2132110443), we get a palindrome (36533233563).

The spelling of 34401123120 in words is "thirty-four billion, four hundred one million, one hundred twenty-three thousand, one hundred twenty".