34401120120 has 64 divisors (see below), whose sum is σ = 114670404000. Its totient is φ = 9173631744.

The previous prime is 34401120119. The next prime is 34401120121. The reversal of 34401120120 is 2102110443.

34401120120 is a `hidden beast` number, since 3 + 440 + 1 + 1 + 201 + 20 = 666.

34401120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34401120119) and next prime (34401120121).

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 = 34401120093 and 34401120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401120121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15925365 + ... + 15927524.

Almost surely, 2^34401120120 is an apocalyptic number.

34401120120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34401120120 is an abundant number, since it is smaller than the sum of its proper divisors (80269283880).

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

34401120120 is a wasteful number, since it uses less digits than its factorization.

34401120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31852909 (or 31852899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34401120120 its reverse (2102110443), we get a palindrome (36503230563).

The spelling of 34401120120 in words is "thirty-four billion, four hundred one million, one hundred twenty thousand, one hundred twenty".