12195835142400 has 3888 divisors, whose sum is σ = 58289147839104. Its totient is φ = 2367978209280.

The previous prime is 12195835142363. The next prime is 12195835142411. The reversal of 12195835142400 is 424153859121.

12195835142400 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 58 + 351 + 4 + 240 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 125730259152 + ... + 125730259248.

Almost surely, 2^{12195835142400} is an apocalyptic number.

12195835142400 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 12195835142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29144573919552).

12195835142400 is an abundant number, since it is smaller than the sum of its proper divisors (46093312696704).

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

12195835142400 is a wasteful number, since it uses less digits than its factorization.

12195835142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12195835142400 in words is "twelve trillion, one hundred ninety-five billion, eight hundred thirty-five million, one hundred forty-two thousand, four hundred".