12121344312000 has 896 divisors, whose sum is σ = 50294792650752. Its totient is φ = 2498840064000.

The previous prime is 12121344311981. The next prime is 12121344312019. The reversal of 12121344312000 is 21344312121.

It is an interprime number because it is at equal distance from previous prime (12121344311981) and next prime (12121344312019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234670177 + ... + 234721823.

Almost surely, 2^{12121344312000} is an apocalyptic number.

12121344312000 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 12121344312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147396325376).

12121344312000 is an abundant number, since it is smaller than the sum of its proper divisors (38173448338752).

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

12121344312000 is a wasteful number, since it uses less digits than its factorization.

12121344312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51822 (or 51802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12121344312000 its reverse (21344312121), we get a palindrome (12142688624121).

The spelling of 12121344312000 in words is "twelve trillion, one hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand".