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12020001000000 = 263567678543
BaseRepresentation
bin1010111011101001111111…
…1000111100101001000000
31120120002201112111011210020
42232322133320330221000
53033413430224000000
641321525012533440
72350262554502610
oct256723770745100
946502645434706
1012020001000000
113914721227174
121421682021280
13692634357726
142d7ab2084a40
1515ca03cd7ba0
hexaee9fe3ca40

12020001000000 has 784 divisors, whose sum is σ = 46115649712128. Its totient is φ = 2706105600000.

The previous prime is 12020000999983. The next prime is 12020001000023. The reversal of 12020001000000 is 10002021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1406995729 + ... + 1407004271.

Almost surely, 212020001000000 is an apocalyptic number.

12020001000000 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 12020001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057824856064).

12020001000000 is an abundant number, since it is smaller than the sum of its proper divisors (34095648712128).

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

12020001000000 is an frugal number, since it uses more digits than its factorization.

12020001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12020001000000 its reverse (10002021), we get a palindrome (12020011002021).

The spelling of 12020001000000 in words is "twelve trillion, twenty billion, one million", and thus it is an aban number and an uban number.