2121123311120 has 60 divisors (see below), whose sum is σ = 5420697180780. Its totient is φ = 771317564160.

The previous prime is 2121123311107. The next prime is 2121123311137. The reversal of 2121123311120 is 211133211212.

It can be written as a sum of positive squares in 2 ways, for example, as 1506893733136 + 614229577984 = 1227556^2 + 783728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2121123311092 and 2121123311101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109552475 + ... + 109571834.

It is an arithmetic number, because the mean of its divisors is an integer number (90344953013).

Almost surely, 2^{2121123311120} is an apocalyptic number.

2121123311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121123311120 is an abundant number, since it is smaller than the sum of its proper divisors (3299573869660).

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

2121123311120 is a wasteful number, since it uses less digits than its factorization.

2121123311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219124344 (or 219124327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2121123311120 its reverse (211133211212), we get a palindrome (2332256522332).

The spelling of 2121123311120 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twenty".