2121011331120 has 240 divisors, whose sum is σ = 7772020442784. Its totient is φ = 514091520000.

The previous prime is 2121011331083. The next prime is 2121011331169. The reversal of 2121011331120 is 211331101212.

2121011331120 is a `hidden beast` number, since 2 + 1 + 210 + 1 + 1 + 331 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121011331093 and 2121011331102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50358070 + ... + 50400170.

Almost surely, 2^{2121011331120} is an apocalyptic number.

2121011331120 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 2121011331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886010221392).

2121011331120 is an abundant number, since it is smaller than the sum of its proper divisors (5651009111664).

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

2121011331120 is a wasteful number, since it uses less digits than its factorization.

2121011331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48492 (or 48483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2121011331120 its reverse (211331101212), we get a palindrome (2332342432332).

The spelling of 2121011331120 in words is "two trillion, one hundred twenty-one billion, eleven million, three hundred thirty-one thousand, one hundred twenty".