120347613120 has 448 divisors, whose sum is σ = 468743970816. Its totient is φ = 25533480960.

The previous prime is 120347613073. The next prime is 120347613131. The reversal of 120347613120 is 21316743021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×120347613120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8332305 + ... + 8346735.

Almost surely, 2^120347613120 is an apocalyptic number.

120347613120 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 120347613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234371985408).

120347613120 is an abundant number, since it is smaller than the sum of its proper divisors (348396357696).

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

120347613120 is a wasteful number, since it uses less digits than its factorization.

120347613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14548 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 120347613120 in words is "one hundred twenty billion, three hundred forty-seven million, six hundred thirteen thousand, one hundred twenty".