12961552213260 has 576 divisors, whose sum is σ = 49296809802240. Its totient is φ = 2815523504640.

The previous prime is 12961552213241. The next prime is 12961552213279. The reversal of 12961552213260 is 6231225516921.

12961552213260 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 1 + 552 + 2 + 1 + 32 + 60 = 666.

12961552213260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12961552213241) and next prime (12961552213279).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41943915 + ... + 42251805.

It is an arithmetic number, because the mean of its divisors is an integer number (85584739240).

Almost surely, 2^{12961552213260} is an apocalyptic number.

12961552213260 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 12961552213260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648404901120).

12961552213260 is an abundant number, since it is smaller than the sum of its proper divisors (36335257588980).

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

12961552213260 is a wasteful number, since it uses less digits than its factorization.

12961552213260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308003 (or 307988 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12961552213260 in words is "twelve trillion, nine hundred sixty-one billion, five hundred fifty-two million, two hundred thirteen thousand, two hundred sixty".