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12139613200 = 24521113832557
BaseRepresentation
bin10110100111001001…
…11100110000010000
31011100000211020122201
423103210330300100
5144330220110300
65324334012544
7606555003211
oct132344746020
934300736581
1012139613200
11516a54a090
122429647154
1311b6067aa0
148323a1408
154b0b4c66a
hex2d393cc10

12139613200 has 240 divisors, whose sum is σ = 34690654656. Its totient is φ = 4024166400.

The previous prime is 12139613197. The next prime is 12139613201. The reversal of 12139613200 is 231693121.

It is a super-2 number, since 2×121396132002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12139613201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4746322 + ... + 4748878.

Almost surely, 212139613200 is an apocalyptic number.

12139613200 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 12139613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345327328).

12139613200 is an abundant number, since it is smaller than the sum of its proper divisors (22551041456).

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

12139613200 is a wasteful number, since it uses less digits than its factorization.

12139613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 12139613200 in words is "twelve billion, one hundred thirty-nine million, six hundred thirteen thousand, two hundred".