1972019212800 has 960 divisors, whose sum is σ = 8097095086080. Its totient is φ = 411959623680.

The previous prime is 1972019212789. The next prime is 1972019212811. The reversal of 1972019212800 is 82129102791.

It is an interprime number because it is at equal distance from previous prime (1972019212789) and next prime (1972019212811).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359920461 + ... + 359925939.

It is an arithmetic number, because the mean of its divisors is an integer number (8434474048).

Almost surely, 2^{1972019212800} is an apocalyptic number.

1972019212800 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 1972019212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048547543040).

1972019212800 is an abundant number, since it is smaller than the sum of its proper divisors (6125075873280).

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

1972019212800 is a wasteful number, since it uses less digits than its factorization.

1972019212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 1972019212800 in words is "one trillion, nine hundred seventy-two billion, nineteen million, two hundred twelve thousand, eight hundred".