2122312121040 has 120 divisors (see below), whose sum is σ = 6641238371040. Its totient is φ = 560659921664.

The previous prime is 2122312121003. The next prime is 2122312121057. The reversal of 2122312121040 is 401212132212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2122312121040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122312120998 and 2122312121016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361571 + ... + 3133949.

It is an arithmetic number, because the mean of its divisors is an integer number (55343653092).

Almost surely, 2^{2122312121040} is an apocalyptic number.

2122312121040 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 2122312121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320619185520).

2122312121040 is an abundant number, since it is smaller than the sum of its proper divisors (4518926250000).

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

2122312121040 is a wasteful number, since it uses less digits than its factorization.

2122312121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772609 (or 772496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2122312121040 its reverse (401212132212), we get a palindrome (2523524253252).

The spelling of 2122312121040 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred twenty-one thousand, forty".