1204256561310 has 192 divisors, whose sum is σ = 3509622177984. Its totient is φ = 283921459200.

The previous prime is 1204256561303. The next prime is 1204256561341. The reversal of 1204256561310 is 131656524021.

1204256561310 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 2 + 565 + 61 + 31 + 0 = 666.

It is a super-2 number, since 2×1204256561310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98052370 + ... + 98064650.

It is an arithmetic number, because the mean of its divisors is an integer number (18279282177).

Almost surely, 2^{1204256561310} is an apocalyptic number.

1204256561310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204256561310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754811088992).

1204256561310 is an abundant number, since it is smaller than the sum of its proper divisors (2305365616674).

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

1204256561310 is a wasteful number, since it uses less digits than its factorization.

1204256561310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15019 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1204256561310 in words is "one trillion, two hundred four billion, two hundred fifty-six million, five hundred sixty-one thousand, three hundred ten".