22121011000000 has 392 divisors, whose sum is σ = 61789789080576. Its totient is φ = 7784400000000.

The previous prime is 22121010999947. The next prime is 22121011000001. The reversal of 22121011000000 is 11012122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22121011000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 340967565 + ... + 341032435.

Almost surely, 2^{22121011000000} is an apocalyptic number.

22121011000000 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 22121011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30894894540288).

22121011000000 is an abundant number, since it is smaller than the sum of its proper divisors (39668778080576).

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

22121011000000 is an frugal number, since it uses more digits than its factorization.

22121011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64955 (or 64920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22121011000000 its reverse (11012122), we get a palindrome (22121022012122).

The spelling of 22121011000000 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million", and thus it is an aban number.