1007279954112 has 42 divisors (see below), whose sum is σ = 2665131674044. Its totient is φ = 335755349120.

The previous prime is 1007279954111. The next prime is 1007279954117. The reversal of 1007279954112 is 2114599727001.

It is a super-2 number, since 2×1007279954112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1007279954111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13870537 + ... + 13942967.

Almost surely, 2^{1007279954112} is an apocalyptic number.

1007279954112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007279954112 is an abundant number, since it is smaller than the sum of its proper divisors (1657851719932).

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

1007279954112 is an frugal number, since it uses more digits than its factorization.

1007279954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144877 (or 72436 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

Multiplying 1007279954112 by its sum of digits (48), we get a square (48349437797376 = 6953376²).

1007279954112 divided by its sum of digits (48) gives a square (20984999044 = 144862²).

The spelling of 1007279954112 in words is "one trillion, seven billion, two hundred seventy-nine million, nine hundred fifty-four thousand, one hundred twelve".