2121312120000 has 1120 divisors, whose sum is σ = 7578254982144. Its totient is φ = 522547200000.

The previous prime is 2121312119999. The next prime is 2121312120107. The reversal of 2121312120000 is 212131212.

It is a super-2 number, since 2×2121312120000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7827719865 + ... + 7827720135.

Almost surely, 2^{2121312120000} is an apocalyptic number.

2121312120000 is a gapful number since it is divisible by the number (20) 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 2121312120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789127491072).

2121312120000 is an abundant number, since it is smaller than the sum of its proper divisors (5456942862144).

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

2121312120000 is a wasteful number, since it uses less digits than its factorization.

2121312120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2121312120000 its reverse (212131212), we get a palindrome (2121524251212).

2121312120000 divided by its reverse (212131212) gives a 4-th power (10000 = 10⁴).

The spelling of 2121312120000 in words is "two trillion, one hundred twenty-one billion, three hundred twelve million, one hundred twenty thousand".