2122121132000 has 96 divisors (see below), whose sum is σ = 5341224024864. Its totient is φ = 828144768000.

The previous prime is 2122121131969. The next prime is 2122121132003. The reversal of 2122121132000 is 2311212212.

It is a super-2 number, since 2×2122121132000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122121132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6305882 + ... + 6633881.

It is an arithmetic number, because the mean of its divisors is an integer number (55637750259).

Almost surely, 2^{2122121132000} is an apocalyptic number.

2122121132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122121132000 is an abundant number, since it is smaller than the sum of its proper divisors (3219102892864).

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

2122121132000 is a wasteful number, since it uses less digits than its factorization.

2122121132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939829 (or 12939811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2122121132000 its reverse (2311212212), we get a palindrome (2124432344212).

The spelling of 2122121132000 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thirty-two thousand".