2120121034440 has 128 divisors (see below), whose sum is σ = 6483370118400. Its totient is φ = 554514186240.

The previous prime is 2120121034429. The next prime is 2120121034487. The reversal of 2120121034440 is 444301210212.

It is a super-2 number, since 2×2120121034440² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2120121034440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999696 + ... + 2289024.

It is an arithmetic number, because the mean of its divisors is an integer number (50651329050).

Almost surely, 2^{2120121034440} is an apocalyptic number.

2120121034440 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 2120121034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241685059200).

2120121034440 is an abundant number, since it is smaller than the sum of its proper divisors (4363249083960).

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

2120121034440 is a wasteful number, since it uses less digits than its factorization.

2120121034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289607 (or 1289603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2120121034440 its reverse (444301210212), we get a palindrome (2564422244652).

The spelling of 2120121034440 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, thirty-four thousand, four hundred forty".