20012100140120 has 128 divisors (see below), whose sum is σ = 51259887175680. Its totient is φ = 6960241728000.

The previous prime is 20012100140089. The next prime is 20012100140191. The reversal of 20012100140120 is 2104100121002.

It is a happy number.

It is a super-2 number, since 2×20012100140120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20012100140095 and 20012100140104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162981950 + ... + 163104690.

It is an arithmetic number, because the mean of its divisors is an integer number (400467868560).

Almost surely, 2^{20012100140120} is an apocalyptic number.

20012100140120 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 20012100140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25629943587840).

20012100140120 is an abundant number, since it is smaller than the sum of its proper divisors (31247787035560).

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

20012100140120 is a wasteful number, since it uses less digits than its factorization.

20012100140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138897 (or 138893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20012100140120 its reverse (2104100121002), we get a palindrome (22116200261122).

The spelling of 20012100140120 in words is "twenty trillion, twelve billion, one hundred million, one hundred forty thousand, one hundred twenty".