21122120000 has 70 divisors (see below), whose sum is σ = 52376092098. Its totient is φ = 8448832000.

The previous prime is 21122119987. The next prime is 21122120003. The reversal of 21122120000 is 2122112.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 12511764736 + 8610355264 = 111856^2 + 92792^2 .

It is a super-2 number, since 2×21122120000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 224027 + ... + 304026.

Almost surely, 2^21122120000 is an apocalyptic number.

21122120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122120000 is an abundant number, since it is smaller than the sum of its proper divisors (31253972098).

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

21122120000 is an frugal number, since it uses more digits than its factorization.

21122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528085 (or 528060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21122120000 its reverse (2122112), we get a palindrome (21124242112).

The spelling of 21122120000 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty thousand".