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12000201220020 = 223513281479311423
BaseRepresentation
bin1010111010100000001110…
…1110110001111110110100
31120111012121122201010202210
42232220003232301332310
53033102403003020040
641304452154533420
72345662113240546
oct256500356617664
946435548633683
1012000201220020
113907290820442
121419877137270
136907ca2b32a0
142d6b545db696
1515c24591b480
hexaea03bb1fb4

12000201220020 has 192 divisors, whose sum is σ = 36324751325184. Its totient is φ = 2942511882240.

The previous prime is 12000201220009. The next prime is 12000201220031. The reversal of 12000201220020 is 2002210200021.

It is an interprime number because it is at equal distance from previous prime (12000201220009) and next prime (12000201220031).

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 = 12000201219978 and 12000201220005.

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, 1050524029 + ... + 1050535451.

It is an arithmetic number, because the mean of its divisors is an integer number (189191413152).

Almost surely, 212000201220020 is an apocalyptic number.

12000201220020 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 12000201220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162375662592).

12000201220020 is an abundant number, since it is smaller than the sum of its proper divisors (24324550105164).

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

12000201220020 is a wasteful number, since it uses less digits than its factorization.

12000201220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16522 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12000201220020 its reverse (2002210200021), we get a palindrome (14002411420041).

The spelling of 12000201220020 in words is "twelve trillion, two hundred one million, two hundred twenty thousand, twenty".