1272168100 has 36 divisors (see below), whose sum is σ = 3154978624. Its totient is φ = 436171680.

The previous prime is 1272168097. The next prime is 1272168101. The reversal of 1272168100 is 18612721.

1272168100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1272168100² = 3236823349315220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1272168101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907992 + ... + 909391.

Almost surely, 2^1272168100 is an apocalyptic number.

1272168100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272168100 is an abundant number, since it is smaller than the sum of its proper divisors (1882810524).

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

1272168100 is a wasteful number, since it uses less digits than its factorization.

1272168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817404 (or 1817397 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1272168100 is about 35667.4655673767. The cubic root of 1272168100 is about 1083.5480305578.

The spelling of 1272168100 in words is "one billion, two hundred seventy-two million, one hundred sixty-eight thousand, one hundred".