1992070029312 has 840 divisors, whose sum is σ = 6705187974408. Its totient is φ = 588597166080.

The previous prime is 1992070029307. The next prime is 1992070029319. The reversal of 1992070029312 is 2139200702991.

It is a super-2 number, since 2×1992070029312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992070029319) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3452460768 + ... + 3452461344.

Almost surely, 2^{1992070029312} is an apocalyptic number.

1992070029312 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 1992070029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352593987204).

1992070029312 is an abundant number, since it is smaller than the sum of its proper divisors (4713117945096).

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

1992070029312 is an equidigital number, since it uses as much as digits as its factorization.

1992070029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1992070029312 in words is "one trillion, nine hundred ninety-two billion, seventy million, twenty-nine thousand, three hundred twelve".