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12151125200 = 2452102129753
BaseRepresentation
bin10110101000100001…
…10111010011010000
31011100211111010011002
423110100313103100
5144341142001300
65325424441132
7610054600664
oct132420672320
934324433132
1012151125200
115175aa2235
1224314791a8
1311b8568916
14833b1a8a4
154b1b735d5
hex2d44374d0

12151125200 has 60 divisors (see below), whose sum is σ = 29222653068. Its totient is φ = 4855526400.

The previous prime is 12151125163. The next prime is 12151125209. The reversal of 12151125200 is 252115121.

It can be written as a sum of positive squares in 6 ways, for example, as 561310864 + 11589814336 = 23692^2 + 107656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12151125209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393524 + ... + 423276.

Almost surely, 212151125200 is an apocalyptic number.

12151125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12151125200 is an abundant number, since it is smaller than the sum of its proper divisors (17071527868).

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

12151125200 is a wasteful number, since it uses less digits than its factorization.

12151125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30792 (or 30781 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 12151125200 in words is "twelve billion, one hundred fifty-one million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1021 2042 4084 5105 8168 10210 16336 20420 25525 29753 40840 51050 59506 81680 102100 119012 148765 204200 238024 297530 408400 476048 595060 743825 1190120 1487650 2380240 2975300 5950600 11901200 30377813 60755626 121511252 151889065 243022504 303778130 486045008 607556260 759445325 1215112520 1518890650 2430225040 3037781300 6075562600 12151125200