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12225752400 = 2435210188127
BaseRepresentation
bin10110110001011011…
…00010110101010000
31011120000220120102110
423120231202311100
5200014243034100
65341052145320
7611652116001
oct133055426520
934500816373
1012225752400
115204133804
122452468240
1311cab67624
1483d9c51a8
154b84b5250
hex2d8b62d50

12225752400 has 60 divisors (see below), whose sum is σ = 39163164032. Its totient is φ = 3260200320.

The previous prime is 12225752359. The next prime is 12225752423. The reversal of 12225752400 is 425752221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×122257524002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5092864 + ... + 5095263.

Almost surely, 212225752400 is an apocalyptic number.

12225752400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12225752400 is an abundant number, since it is smaller than the sum of its proper divisors (26937411632).

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

12225752400 is a wasteful number, since it uses less digits than its factorization.

12225752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188148 (or 10188137 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 12225752400 in words is "twelve billion, two hundred twenty-five million, seven hundred fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10188127 20376254 30564381 40752508 50940635 61128762 81505016 101881270 122257524 152821905 163010032 203762540 244515048 254703175 305643810 407525080 489030096 509406350 611287620 764109525 815050160 1018812700 1222575240 1528219050 2037625400 2445150480 3056438100 4075250800 6112876200 12225752400