1972118016000 has 1872 divisors, whose sum is σ = 8165607113664. Its totient is φ = 474439680000.

The previous prime is 1972118015971. The next prime is 1972118016017. The reversal of 1972118016000 is 6108112791.

1972118016000 is a `hidden beast` number, since 19 + 7 + 21 + 18 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15054335935 + ... + 15054336065.

It is an arithmetic number, because the mean of its divisors is an integer number (4361969612).

Almost surely, 2^{1972118016000} is an apocalyptic number.

1972118016000 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 1972118016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082803556832).

1972118016000 is an abundant number, since it is smaller than the sum of its proper divisors (6193489097664).

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

1972118016000 is an equidigital number, since it uses as much as digits as its factorization.

1972118016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1972118016000 in words is "one trillion, nine hundred seventy-two billion, one hundred eighteen million, sixteen thousand".