1361206125312 has 288 divisors, whose sum is σ = 4185748331520. Its totient is φ = 388372008960.

The previous prime is 1361206125289. The next prime is 1361206125347. The reversal of 1361206125312 is 2135216021631.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 26137443 + ... + 26189469.

Almost surely, 2^{1361206125312} is an apocalyptic number.

1361206125312 is a gapful number since it is divisible by the number (12) 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 1361206125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092874165760).

1361206125312 is an abundant number, since it is smaller than the sum of its proper divisors (2824542206208).

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

1361206125312 is a wasteful number, since it uses less digits than its factorization.

1361206125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52239 (or 52225 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1361206125312 in words is "one trillion, three hundred sixty-one billion, two hundred six million, one hundred twenty-five thousand, three hundred twelve".