120006517200 has 60 divisors (see below), whose sum is σ = 384420880608. Its totient is φ = 32001737600.

The previous prime is 120006517159. The next prime is 120006517207. The reversal of 120006517200 is 2715600021.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120006517207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50001516 + ... + 50003915.

Almost surely, 2^120006517200 is an apocalyptic number.

120006517200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120006517200 is an abundant number, since it is smaller than the sum of its proper divisors (264414363408).

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

120006517200 is a wasteful number, since it uses less digits than its factorization.

120006517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100005452 (or 100005441 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 120006517200 in words is "one hundred twenty billion, six million, five hundred seventeen thousand, two hundred".