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122204880 = 24325724247
BaseRepresentation
bin1110100100010…
…11001011010000
322111221122120200
413102023023100
5222241024010
620043135200
73012503310
oct722131320
9274848520
10122204880
1162a88376
1234b14500
131c4196a5
1412331440
15aaddcc0
hex748b2d0

122204880 has 120 divisors (see below), whose sum is σ = 469053312. Its totient is φ = 27931392.

The previous prime is 122204879. The next prime is 122204881. The reversal of 122204880 is 88402221.

It is an interprime number because it is at equal distance from previous prime (122204879) and next prime (122204881).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122204881) 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, 7084 + ... + 17163.

Almost surely, 2122204880 is an apocalyptic number.

122204880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122204880 is an abundant number, since it is smaller than the sum of its proper divisors (346848432).

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

122204880 is a wasteful number, since it uses less digits than its factorization.

122204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24273 (or 24264 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 122204880 is about 11054.6316085160. The cubic root of 122204880 is about 496.2450445440.

The spelling of 122204880 in words is "one hundred twenty-two million, two hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 24247 48494 72741 96988 121235 145482 169729 193976 218223 242470 290964 339458 363705 387952 436446 484940 509187 581928 678916 727410 848645 872892 969880 1018374 1091115 1163856 1357832 1454820 1527561 1697290 1745784 1939760 2036748 2182230 2545935 2715664 2909640 3055122 3394580 3491568 4073496 4364460 5091870 5819280 6110244 6789160 7637805 8146992 8728920 10183740 12220488 13578320 15275610 17457840 20367480 24440976 30551220 40734960 61102440 122204880