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12000112012020 = 22351159961949037
BaseRepresentation
bin1010111010011111111001…
…1010011110101011110100
31120111012101102211220101210
42232213332122132223310
53033102212133341040
641304435250521420
72345656651054116
oct256477632365364
946435342756353
1012000112012020
113907245430120
121419851296270
136907b497a9a2
142d6b468193b6
1515c23cb99480
hexae9fe69eaf4

12000112012020 has 192 divisors, whose sum is σ = 36776146176000. Its totient is φ = 2899510448640.

The previous prime is 12000112012019. The next prime is 12000112012051. The reversal of 12000112012020 is 2021021100021.

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 = 12000112011987 and 12000112012005.

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, 244690942 + ... + 244739978.

It is an arithmetic number, because the mean of its divisors is an integer number (191542428000).

Almost surely, 212000112012020 is an apocalyptic number.

12000112012020 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 12000112012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388073088000).

12000112012020 is an abundant number, since it is smaller than the sum of its proper divisors (24776034163980).

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

12000112012020 is a wasteful number, since it uses less digits than its factorization.

12000112012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50278 (or 50276 counting only the distinct ones).

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

Adding to 12000112012020 its reverse (2021021100021), we get a palindrome (14021133112041).

The spelling of 12000112012020 in words is "twelve trillion, one hundred twelve million, twelve thousand, twenty".