1972085018112 has 640 divisors, whose sum is σ = 6500748925440. Its totient is φ = 585252864000.

The previous prime is 1972085018087. The next prime is 1972085018221. The reversal of 1972085018112 is 2118105802791.

1972085018112 is a `hidden beast` number, since 1 + 9 + 7 + 20 + 8 + 501 + 8 + 112 = 666.

It is a super-5 number, since 5×1972085018112⁵ (a number of 63 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4016466187 + ... + 4016466677.

It is an arithmetic number, because the mean of its divisors is an integer number (10157420196).

Almost surely, 2^{1972085018112} is an apocalyptic number.

1972085018112 is a gapful number since it is divisible by the number (12) 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 1972085018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250374462720).

1972085018112 is an abundant number, since it is smaller than the sum of its proper divisors (4528663907328).

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

1972085018112 is a wasteful number, since it uses less digits than its factorization.

1972085018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1972085018112 in words is "one trillion, nine hundred seventy-two billion, eighty-five million, eighteen thousand, one hundred twelve".