120333154141200 has 1440 divisors, whose sum is σ = 528076689817600. Its totient is φ = 22788523929600.

The previous prime is 120333154141199. The next prime is 120333154141259. The reversal of 120333154141200 is 2141451333021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1043785161 + ... + 1043900439.

Almost surely, 2^{120333154141200} is an apocalyptic number.

120333154141200 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 120333154141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264038344908800).

120333154141200 is an abundant number, since it is smaller than the sum of its proper divisors (407743535676400).

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

120333154141200 is a wasteful number, since it uses less digits than its factorization.

120333154141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115421 (or 115399 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 120333154141200 in words is "one hundred twenty trillion, three hundred thirty-three billion, one hundred fifty-four million, one hundred forty-one thousand, two hundred".