120249156000 has 384 divisors, whose sum is σ = 410796562176. Its totient is φ = 30722764800.

The previous prime is 120249155969. The next prime is 120249156061. The reversal of 120249156000 is 651942021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27345802 + ... + 27350198.

It is an arithmetic number, because the mean of its divisors is an integer number (1069782714).

Almost surely, 2^120249156000 is an apocalyptic number.

120249156000 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 120249156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205398281088).

120249156000 is an abundant number, since it is smaller than the sum of its proper divisors (290547406176).

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

120249156000 is a wasteful number, since it uses less digits than its factorization.

120249156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

It can be divided in two parts, 1202491 and 56000, that added together give a triangular number (1258491 = T₁₅₈₆).

The spelling of 120249156000 in words is "one hundred twenty billion, two hundred forty-nine million, one hundred fifty-six thousand".