12951961407 has 72 divisors (see below), whose sum is σ = 24383251152. Its totient is φ = 6546355200.

The previous prime is 12951961397. The next prime is 12951961453. The reversal of 12951961407 is 70416915921.

12951961407 is a `hidden beast` number, since 1 + 29 + 5 + 1 + 9 + 614 + 0 + 7 = 666.

It is not a de Polignac number, because 12951961407 - 2⁴ = 12951961391 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12951966407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143407 + ... + 215567.

It is an arithmetic number, because the mean of its divisors is an integer number (338656266).

Almost surely, 2^12951961407 is an apocalyptic number.

12951961407 is a deficient number, since it is larger than the sum of its proper divisors (11431289745).

12951961407 is a wasteful number, since it uses less digits than its factorization.

12951961407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72229 (or 72219 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 12951961407 in words is "twelve billion, nine hundred fifty-one million, nine hundred sixty-one thousand, four hundred seven".