120362112000 has 1760 divisors, whose sum is σ = 519310471680. Its totient is φ = 27471052800.

The previous prime is 120362111999. The next prime is 120362112007. The reversal of 120362112000 is 211263021.

120362112000 is a `hidden beast` number, since 1 + 20 + 3 + 621 + 1 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120362112007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2560895977 + ... + 2560896023.

It is an arithmetic number, because the mean of its divisors is an integer number (295062768).

Almost surely, 2^120362112000 is an apocalyptic number.

120362112000 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 120362112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259655235840).

120362112000 is an abundant number, since it is smaller than the sum of its proper divisors (398948359680).

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

120362112000 is a wasteful number, since it uses less digits than its factorization.

120362112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120362112000 its reverse (211263021), we get a palindrome (120573375021).

The spelling of 120362112000 in words is "one hundred twenty billion, three hundred sixty-two million, one hundred twelve thousand".