1261305746100 has 108 divisors (see below), whose sum is σ = 3970035276480. Its totient is φ = 334940827200.

The previous prime is 1261305746027. The next prime is 1261305746131. The reversal of 1261305746100 is 16475031621.

1261305746100 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 30 + 5 + 7 + 4 + 610 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2716806 + ... + 3147005.

Almost surely, 2^{1261305746100} is an apocalyptic number.

1261305746100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261305746100 is an abundant number, since it is smaller than the sum of its proper divisors (2708729530380).

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

1261305746100 is a wasteful number, since it uses less digits than its factorization.

1261305746100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864070 (or 5864060 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1261305746100 in words is "one trillion, two hundred sixty-one billion, three hundred five million, seven hundred forty-six thousand, one hundred".