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12020100210000 = 243254419318751
BaseRepresentation
bin1010111011101010010111…
…0011011001110101010000
31120120002222110011120022200
42232322211303121311100
53033414131123210000
641321542515203200
72350265200664601
oct256724563316520
946502873146280
1012020100210000
113914772229103
1214216ab2a6500
1369264ba8277c
142d7ac130bda8
1515ca0c883500
hexaeea5cd9d50

12020100210000 has 300 divisors, whose sum is σ = 42136483509120. Its totient is φ = 3197700000000.

The previous prime is 12020100209993. The next prime is 12020100210023. The reversal of 12020100210000 is 1200102021.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37550625 + ... + 37869375.

Almost surely, 212020100210000 is an apocalyptic number.

12020100210000 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 12020100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068241754560).

12020100210000 is an abundant number, since it is smaller than the sum of its proper divisors (30116383299120).

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

12020100210000 is a wasteful number, since it uses less digits than its factorization.

12020100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319204 (or 319180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020100210000 its reverse (1200102021), we get a palindrome (12021300312021).

The spelling of 12020100210000 in words is "twelve trillion, twenty billion, one hundred million, two hundred ten thousand".