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122094120 = 233523311427
BaseRepresentation
bin1110100011100…
…00001000101000
322111202000122110
413101300020220
5222224002440
620040522320
73011532351
oct721601050
9274660573
10122094120
1162a12135
1234a803a0
131c3ab155
1412302d28
15aabb080
hex7470228

122094120 has 128 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 30117120.

The previous prime is 122094103. The next prime is 122094131. The reversal of 122094120 is 21490221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84847 + ... + 86273.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2122094120 is an apocalyptic number.

122094120 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 122094120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

122094120 is an abundant number, since it is smaller than the sum of its proper divisors (272719320).

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

122094120 is a wasteful number, since it uses less digits than its factorization.

122094120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 122094120 is about 11049.6208079735. The cubic root of 122094120 is about 496.0950758602.

The spelling of 122094120 in words is "one hundred twenty-two million, ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 276 310 345 372 460 465 552 620 690 713 744 920 930 1240 1380 1426 1427 1860 2139 2760 2852 2854 3565 3720 4278 4281 5704 5708 7130 7135 8556 8562 10695 11416 14260 14270 17112 17124 21390 21405 28520 28540 32821 34248 42780 42810 44237 57080 65642 85560 85620 88474 98463 131284 132711 164105 171240 176948 196926 221185 262568 265422 328210 353896 393852 442370 492315 530844 656420 663555 787704 884740 984630 1017451 1061688 1312840 1327110 1769480 1969260 2034902 2654220 3052353 3938520 4069804 5087255 5308440 6104706 8139608 10174510 12209412 15261765 20349020 24418824 30523530 40698040 61047060 122094120