12462007078560 has 384 divisors, whose sum is σ = 45188952592896. Its totient is φ = 2862631157760.

The previous prime is 12462007078553. The next prime is 12462007078561. The reversal of 12462007078560 is 6587070026421.

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

It is not an unprimeable number, because it can be changed into a prime (12462007078561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4825404 + ... + 6943236.

It is an arithmetic number, because the mean of its divisors is an integer number (117679564044).

Almost surely, 2^{12462007078560} is an apocalyptic number.

12462007078560 is a gapful number since it is divisible by the number (10) 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 12462007078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594476296448).

12462007078560 is an abundant number, since it is smaller than the sum of its proper divisors (32726945514336).

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

12462007078560 is a wasteful number, since it uses less digits than its factorization.

12462007078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117928 (or 2117920 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 12462007078560 in words is "twelve trillion, four hundred sixty-two billion, seven million, seventy-eight thousand, five hundred sixty".