12169811012400 has 1440 divisors, whose sum is σ = 46797394775040. Its totient is φ = 3031888527360.

The previous prime is 12169811012309. The next prime is 12169811012407. The reversal of 12169811012400 is 421011896121.

12169811012400 is a `hidden beast` number, since 1 + 2 + 169 + 81 + 1 + 0 + 12 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12169811012407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12850908727 + ... + 12850909673.

It is an arithmetic number, because the mean of its divisors is an integer number (32498190816).

Almost surely, 2^{12169811012400} is an apocalyptic number.

12169811012400 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 12169811012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398697387520).

12169811012400 is an abundant number, since it is smaller than the sum of its proper divisors (34627583762640).

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

12169811012400 is a wasteful number, since it uses less digits than its factorization.

12169811012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12169811012400 in words is "twelve trillion, one hundred sixty-nine billion, eight hundred eleven million, twelve thousand, four hundred".