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12245999700 = 223521119195311
BaseRepresentation
bin10110110011110101…
…10010000001010100
31011121110000020111110
423121322302001110
5200034433442300
65343054135020
7612316165014
oct133172620124
934543006443
1012245999700
115214602910
1224591b1470
13120210648c
14842575c44
154ba164550
hex2d9eb2054

12245999700 has 144 divisors (see below), whose sum is σ = 40687395840. Its totient is φ = 2812464000.

The previous prime is 12245999669. The next prime is 12245999707. The reversal of 12245999700 is 799954221.

It is a self number, because there is not a number n which added to its sum of digits gives 12245999700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245999707) 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, 34956 + ... + 160355.

It is an arithmetic number, because the mean of its divisors is an integer number (282551360).

Almost surely, 212245999700 is an apocalyptic number.

12245999700 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 12245999700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343697920).

12245999700 is an abundant number, since it is smaller than the sum of its proper divisors (28441396140).

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

12245999700 is a wasteful number, since it uses less digits than its factorization.

12245999700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195358 (or 195351 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 12245999700 in words is "twelve billion, two hundred forty-five million, nine hundred ninety-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 195311 390622 585933 781244 976555 1171866 1953110 2148421 2343732 2929665 3710909 3906220 4296842 4882775 5859330 6445263 7421818 8593684 9765550 10742105 11132727 11718660 12890526 14648325 14843636 18554545 19531100 21484210 22265454 25781052 29296650 32226315 37109090 40819999 42968420 44530908 53710525 55663635 58593300 64452630 74218180 81639998 92772725 107421050 111327270 122459997 128905260 161131575 163279996 185545450 204099995 214842100 222654540 244919994 278318175 322263150 371090900 408199990 489839988 556636350 612299985 644526300 816399980 1020499975 1113272700 1224599970 2040999950 2449199940 3061499925 4081999900 6122999850 12245999700