21122112000 has 640 divisors, whose sum is σ = 78226207488. Its totient is φ = 5013504000.

The previous prime is 21122111999. The next prime is 21122112017. The reversal of 21122112000 is 21122112.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×21122112000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 154175932 + ... + 154176068.

Almost surely, 2^21122112000 is an apocalyptic number.

21122112000 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 21122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39113103744).

21122112000 is an abundant number, since it is smaller than the sum of its proper divisors (57104095488).

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

21122112000 is a wasteful number, since it uses less digits than its factorization.

21122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21122112000 its reverse (21122112), we get a palindrome (21143234112).

21122112000 divided by its reverse (21122112) gives a cube (1000 = 10³).

It can be divided in two parts, 2112 and 2112000, that added together give a palindrome (2114112).

The spelling of 21122112000 in words is "twenty-one billion, one hundred twenty-two million, one hundred twelve thousand".