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12020102110000 = 245417121758099
BaseRepresentation
bin1010111011101010010111…
…1010101001101100110000
31120120002222120202002122001
42232322211322221230300
53033414132120010000
641321543024023344
72350265223100135
oct256724572515460
946502876662561
1012020102110000
113914773306656
1214216aba61b54
1369264c29952a
142d7ac168458c
1515ca0cb0b46a
hexaeea5ea9b30

12020102110000 has 200 divisors, whose sum is σ = 30839594108400. Its totient is φ = 4521418752000.

The previous prime is 12020102109971. The next prime is 12020102110013. The reversal of 12020102110000 is 1120102021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206860951 + ... + 206919049.

It is an arithmetic number, because the mean of its divisors is an integer number (154197970542).

Almost surely, 212020102110000 is an apocalyptic number.

12020102110000 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 12020102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419797054200).

12020102110000 is an abundant number, since it is smaller than the sum of its proper divisors (18819491998400).

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

12020102110000 is a wasteful number, since it uses less digits than its factorization.

12020102110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59361 (or 59340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12020102110000 its reverse (1120102021), we get a palindrome (12021222212021).

The spelling of 12020102110000 in words is "twelve trillion, twenty billion, one hundred two million, one hundred ten thousand".