812200072320000 has 7040 divisors, whose sum is σ = 3850402676736000. Its totient is φ = 167967571968000.

The previous prime is 812200072319941. The next prime is 812200072320037. The reversal of 812200072320000 is 23270002218.

It is a happy number.

It is a super-2 number, since 2×812200072320000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 6395276159937 + ... + 6395276160063.

It is an arithmetic number, because the mean of its divisors is an integer number (546932198400).

Almost surely, 2^{812200072320000} is an apocalyptic number.

812200072320000 is a gapful number since it is divisible by the number (80) 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 812200072320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925201338368000).

812200072320000 is an abundant number, since it is smaller than the sum of its proper divisors (3038202604416000).

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

812200072320000 is a wasteful number, since it uses less digits than its factorization.

812200072320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 812200072320000 in words is "eight hundred twelve trillion, two hundred billion, seventy-two million, three hundred twenty thousand".