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12020001300000 = 253255172371249
BaseRepresentation
bin1010111011101001111111…
…1010000101111000100000
31120120002201120001102022100
42232322133322011320200
53033413430313100000
641321525023210400
72350262560162341
oct256723772057040
946502646042270
1012020001300000
113914721411601
121421682146a00
13692634431145
142d7ab21220c8
1515ca03d46a00
hexaee9fe85e20

12020001300000 has 1296 divisors, whose sum is σ = 46649621655000. Its totient is φ = 2932899840000.

The previous prime is 12020001299981. The next prime is 12020001300103. The reversal of 12020001300000 is 310002021.

It is a happy number.

It can be written as a sum of positive squares in 36 ways, for example, as 9100865031696 + 2919136268304 = 3016764^2 + 1708548^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9623699376 + ... + 9623700624.

Almost surely, 212020001300000 is an apocalyptic number.

12020001300000 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 12020001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324810827500).

12020001300000 is an abundant number, since it is smaller than the sum of its proper divisors (34629620355000).

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

12020001300000 is a wasteful number, since it uses less digits than its factorization.

12020001300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12020001300000 its reverse (310002021), we get a palindrome (12020311302021).

The spelling of 12020001300000 in words is "twelve trillion, twenty billion, one million, three hundred thousand".