1072274935200 has 864 divisors, whose sum is σ = 4188344928768. Its totient is φ = 233288294400.

The previous prime is 1072274935169. The next prime is 1072274935261. The reversal of 1072274935200 is 25394722701.

It is a super-2 number, since 2×1072274935200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1214353959 + ... + 1214354841.

Almost surely, 2^{1072274935200} is an apocalyptic number.

1072274935200 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 1072274935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094172464384).

1072274935200 is an abundant number, since it is smaller than the sum of its proper divisors (3116069993568).

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

1072274935200 is a wasteful number, since it uses less digits than its factorization.

1072274935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 1072274935200 in words is "one trillion, seventy-two billion, two hundred seventy-four million, nine hundred thirty-five thousand, two hundred".