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12153425200 = 2452736711827
BaseRepresentation
bin10110101000110011…
…01000110100110000
31011100222210222011021
423110121220310300
5144342234101300
65325550025224
7610113260350
oct132431506460
934328728137
1012153425200
115177323264
1224321a8214
1311b8b92777
14834158b60
154b1e79d1a
hex2d4668d30

12153425200 has 120 divisors (see below), whose sum is σ = 33463588352. Its totient is φ = 4155183360.

The previous prime is 12153425197. The next prime is 12153425203. The reversal of 12153425200 is 252435121.

It is an interprime number because it is at equal distance from previous prime (12153425197) and next prime (12153425203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12153425203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021687 + ... + 1033513.

Almost surely, 212153425200 is an apocalyptic number.

12153425200 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 12153425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731794176).

12153425200 is an abundant number, since it is smaller than the sum of its proper divisors (21310163152).

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

12153425200 is a wasteful number, since it uses less digits than its factorization.

12153425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 12153425200 in words is "twelve billion, one hundred fifty-three million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 367 400 560 700 734 1400 1468 1835 2569 2800 2936 3670 5138 5872 7340 9175 10276 11827 12845 14680 18350 20552 23654 25690 29360 36700 41104 47308 51380 59135 64225 73400 82789 94616 102760 118270 128450 146800 165578 189232 205520 236540 256900 295675 331156 413945 473080 513800 591350 662312 827890 946160 1027600 1182700 1324624 1655780 2069725 2365400 3311560 4139450 4340509 4730800 6623120 8278900 8681018 16557800 17362036 21702545 30383563 33115600 34724072 43405090 60767126 69448144 86810180 108512725 121534252 151917815 173620360 217025450 243068504 303835630 347240720 434050900 486137008 607671260 759589075 868101800 1215342520 1519178150 1736203600 2430685040 3038356300 6076712600 12153425200