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12100332000 = 253533727253
BaseRepresentation
bin10110100010011110…
…00110100111100000
31011020021220112222110
423101033012213200
5144240141111000
65320412035320
7605600060601
oct132117064740
934207815873
1012100332000
11514a35a589
122418462b40
1311aab93483
1482b097da8
154ac48d850
hex2d13c69e0

12100332000 has 192 divisors, whose sum is σ = 40713551424. Its totient is φ = 3139430400.

The previous prime is 12100331977. The next prime is 12100332011. The reversal of 12100332000 is 23300121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430374 + ... + 457626.

It is an arithmetic number, because the mean of its divisors is an integer number (212049747).

Almost surely, 212100332000 is an apocalyptic number.

12100332000 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 12100332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356775712).

12100332000 is an abundant number, since it is smaller than the sum of its proper divisors (28613219424).

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

12100332000 is a wasteful number, since it uses less digits than its factorization.

12100332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27318 (or 27300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12100332000 its reverse (23300121), we get a palindrome (12123632121).

The spelling of 12100332000 in words is "twelve billion, one hundred million, three hundred thirty-two thousand".