20112120000 has 840 divisors, whose sum is σ = 86154621696. Its totient is φ = 4384512000.

The previous prime is 20112119987. The next prime is 20112120013. The reversal of 20112120000 is 2121102.

It is an interprime number because it is at equal distance from previous prime (20112119987) and next prime (20112120013).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57959827 + ... + 57960173.

Almost surely, 2^20112120000 is an apocalyptic number.

20112120000 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 20112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43077310848).

20112120000 is an abundant number, since it is smaller than the sum of its proper divisors (66042501696).

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

20112120000 is a wasteful number, since it uses less digits than its factorization.

20112120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20112120000 its reverse (2121102), we get a palindrome (20114241102).

The spelling of 20112120000 in words is "twenty billion, one hundred twelve million, one hundred twenty thousand".