1296461637072 has 240 divisors, whose sum is σ = 4338536387328. Its totient is φ = 353360240640.

The previous prime is 1296461636933. The next prime is 1296461637073. The reversal of 1296461637072 is 2707361646921.

1296461637072 is a `hidden beast` number, since 12 + 9 + 6 + 4 + 616 + 3 + 7 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296461637073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8572672 + ... + 8722592.

Almost surely, 2^{1296461637072} is an apocalyptic number.

1296461637072 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 1296461637072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169268193664).

1296461637072 is an abundant number, since it is smaller than the sum of its proper divisors (3042074750256).

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

1296461637072 is a wasteful number, since it uses less digits than its factorization.

1296461637072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150338 (or 150329 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1296461637072 in words is "one trillion, two hundred ninety-six billion, four hundred sixty-one million, six hundred thirty-seven thousand, seventy-two".