12265630361400 has 192 divisors, whose sum is σ = 41104039173120. Its totient is φ = 3007751616000.

The previous prime is 12265630361381. The next prime is 12265630361443. The reversal of 12265630361400 is 416303656221.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938176 + ... + 5040975.

It is an arithmetic number, because the mean of its divisors is an integer number (214083537360).

Almost surely, 2^{12265630361400} is an apocalyptic number.

12265630361400 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 12265630361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552019586560).

12265630361400 is an abundant number, since it is smaller than the sum of its proper divisors (28838408811720).

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

12265630361400 is a wasteful number, since it uses less digits than its factorization.

12265630361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979446 (or 5979437 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 12265630361400 in words is "twelve trillion, two hundred sixty-five billion, six hundred thirty million, three hundred sixty-one thousand, four hundred".