120438572800000 has 1152 divisors, whose sum is σ = 372506498058240. Its totient is φ = 37907251200000.

The previous prime is 120438572799977. The next prime is 120438572800019. The reversal of 120438572800000 is 8275834021.

It is a happy number.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 132204799545 + ... + 132204800455.

It is an arithmetic number, because the mean of its divisors is an integer number (323356335120).

Almost surely, 2^{120438572800000} is an apocalyptic number.

120438572800000 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 120438572800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186253249029120).

120438572800000 is an abundant number, since it is smaller than the sum of its proper divisors (252067925258240).

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

120438572800000 is an frugal number, since it uses more digits than its factorization.

120438572800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 120438572800000 in words is "one hundred twenty trillion, four hundred thirty-eight billion, five hundred seventy-two million, eight hundred thousand".