120254011200 has 126 divisors (see below), whose sum is σ = 427411200294. Its totient is φ = 32067732480.

The previous prime is 120254011151. The next prime is 120254011211. The reversal of 120254011200 is 2110452021.

120254011200 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 540 + 1 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24015081024 + 96238930176 = 154968^2 + 310224^2 .

It is a super-2 number, since 2×120254011200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4161087 + ... + 4189886.

Almost surely, 2^120254011200 is an apocalyptic number.

120254011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120254011200 is an abundant number, since it is smaller than the sum of its proper divisors (307157189094).

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

120254011200 is a wasteful number, since it uses less digits than its factorization.

120254011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351001 (or 8350983 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 120254011200 its reverse (2110452021), we get a palindrome (122364463221).

The spelling of 120254011200 in words is "one hundred twenty billion, two hundred fifty-four million, eleven thousand, two hundred".