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12440820700 = 22527211220983
BaseRepresentation
bin10111001011000011…
…11101101111011100
31012010000121011200001
423211201331233130
5200434322230300
65414253544044
7620203142200
oct134541755734
935100534601
1012440820700
115304578800
1224b24a5024
131233599389
148603aab00
154cc2e916a
hex2e587dbdc

12440820700 has 162 divisors, whose sum is σ = 34520295768. Its totient is φ = 3877473600.

The previous prime is 12440820683. The next prime is 12440820757. The reversal of 12440820700 is 702804421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 582409 + ... + 603391.

Almost surely, 212440820700 is an apocalyptic number.

12440820700 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 12440820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260147884).

12440820700 is an abundant number, since it is smaller than the sum of its proper divisors (22079475068).

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

12440820700 is a wasteful number, since it uses less digits than its factorization.

12440820700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 12440820700 in words is "twelve billion, four hundred forty million, eight hundred twenty thousand, seven hundred".