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12031002100020 = 22352917367359387
BaseRepresentation
bin1010111100010010111110…
…0110110100000100110100
31120121011010012222221222010
42233010233212310010310
53034103443014200040
641330544400404220
72351132306346531
oct257045746640464
946534105887863
1012031002100020
113919357046472
121423832316670
13693698578977
142d843715dd88
1515ce499e2e80
hexaf12f9b4134

12031002100020 has 192 divisors, whose sum is σ = 35102526923520. Its totient is φ = 3075103997952.

The previous prime is 12031002099983. The next prime is 12031002100031. The reversal of 12031002100020 is 2000120013021.

12031002100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12031002099969 and 12031002100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202556767 + ... + 202616153.

It is an arithmetic number, because the mean of its divisors is an integer number (182825661060).

Almost surely, 212031002100020 is an apocalyptic number.

12031002100020 is a gapful number since it is divisible by the number (10) 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 12031002100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551263461760).

12031002100020 is an abundant number, since it is smaller than the sum of its proper divisors (23071524823500).

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

12031002100020 is a wasteful number, since it uses less digits than its factorization.

12031002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60274 (or 60272 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12031002100020 its reverse (2000120013021), we get a palindrome (14031122113041).

The spelling of 12031002100020 in words is "twelve trillion, thirty-one billion, two million, one hundred thousand, twenty".