1007207472312 has 160 divisors (see below), whose sum is σ = 2899446382800. Its totient is φ = 326426651136.

The previous prime is 1007207472277. The next prime is 1007207472331. The reversal of 1007207472312 is 2132747027001.

1007207472312 is a `hidden beast` number, since 100 + 72 + 0 + 7 + 472 + 3 + 12 = 666.

1007207472312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1007207472312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34966588 + ... + 34995380.

Almost surely, 2^{1007207472312} is an apocalyptic number.

1007207472312 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 1007207472312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449723191400).

1007207472312 is an abundant number, since it is smaller than the sum of its proper divisors (1892238910488).

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

1007207472312 is a wasteful number, since it uses less digits than its factorization.

1007207472312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30307 (or 30294 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 1007207472312 in words is "one trillion, seven billion, two hundred seven million, four hundred seventy-two thousand, three hundred twelve".