12612619356480 has 1792 divisors, whose sum is σ = 53274278292480. Its totient is φ = 2803480657920.

The previous prime is 12612619356439. The next prime is 12612619356527. The reversal of 12612619356480 is 8465391621621.

12612619356480 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 26 + 1 + 93 + 56 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19314883834 + ... + 19314884486.

It is an arithmetic number, because the mean of its divisors is an integer number (29728949940).

Almost surely, 2^{12612619356480} is an apocalyptic number.

12612619356480 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 12612619356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637139146240).

12612619356480 is an abundant number, since it is smaller than the sum of its proper divisors (40661658936000).

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

12612619356480 is a wasteful number, since it uses less digits than its factorization.

12612619356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12612619356480 in words is "twelve trillion, six hundred twelve billion, six hundred nineteen million, three hundred fifty-six thousand, four hundred eighty".