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12100023230000 = 245431344911317
BaseRepresentation
bin1011000000010100000110…
…0101100001111000110000
31120211202021102102122121112
42300011001211201320300
53041221321421330000
641422401323012452
72356124566311656
oct260050145417060
946752242378545
1012100023230000
113945655736a52
12143509536a128
1369a047c73994
142db903b68dd6
1515eb391e8235
hexb0141961e30

12100023230000 has 200 divisors, whose sum is σ = 30251818819200. Its totient is φ = 4682108160000.

The previous prime is 12100023229993. The next prime is 12100023230011. The reversal of 12100023230000 is 3232000121.

It is a happy number.

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

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, 1069184342 + ... + 1069195658.

It is an arithmetic number, because the mean of its divisors is an integer number (151259094096).

Almost surely, 212100023230000 is an apocalyptic number.

12100023230000 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 12100023230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125909409600).

12100023230000 is an abundant number, since it is smaller than the sum of its proper divisors (18151795589200).

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

12100023230000 is a wasteful number, since it uses less digits than its factorization.

12100023230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14825 (or 14804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12100023230000 its reverse (3232000121), we get a palindrome (12103255230121).

The spelling of 12100023230000 in words is "twelve trillion, one hundred billion, twenty-three million, two hundred thirty thousand".