12460195776 has 224 divisors, whose sum is σ = 38863739392. Its totient is φ = 3448811520.

The previous prime is 12460195753. The next prime is 12460195793. The reversal of 12460195776 is 67759106421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×12460195776³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16459590 + ... + 16460346.

Almost surely, 2^12460195776 is an apocalyptic number.

12460195776 is a gapful number since it is divisible by the number (16) 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 12460195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19431869696).

12460195776 is an abundant number, since it is smaller than the sum of its proper divisors (26403543616).

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

12460195776 is a wasteful number, since it uses less digits than its factorization.

12460195776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 12460195776 in words is "twelve billion, four hundred sixty million, one hundred ninety-five thousand, seven hundred seventy-six".