12290870736144 has 1440 divisors, whose sum is σ = 48652533895680. Its totient is φ = 2936323353600.

The previous prime is 12290870736113. The next prime is 12290870736149. The reversal of 12290870736144 is 44163707809221.

12290870736144 is a `hidden beast` number, since 12 + 2 + 9 + 0 + 8 + 7 + 0 + 7 + 3 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12290870736149) 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, 21525167379 + ... + 21525167949.

It is an arithmetic number, because the mean of its divisors is an integer number (33786481872).

Almost surely, 2^{12290870736144} is an apocalyptic number.

12290870736144 is a gapful number since it is divisible by the number (14) 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 12290870736144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24326266947840).

12290870736144 is an abundant number, since it is smaller than the sum of its proper divisors (36361663159536).

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

12290870736144 is a wasteful number, since it uses less digits than its factorization.

12290870736144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12290870736144 in words is "twelve trillion, two hundred ninety billion, eight hundred seventy million, seven hundred thirty-six thousand, one hundred forty-four".