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122345080 = 235111373293
BaseRepresentation
bin1110100101011…
…01011001111000
322112012202220021
413102231121320
5222310020310
620050140224
73013626124
oct722553170
9275182807
10122345080
1163073740
1234b81674
131c468450
141236a584
15ab1a5da
hex74ad678

122345080 has 128 divisors (see below), whose sum is σ = 328950720. Its totient is φ = 40366080.

The previous prime is 122345057. The next prime is 122345101. The reversal of 122345080 is 80543221.

It is a congruent number.

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, 417414 + ... + 417706.

Almost surely, 2122345080 is an apocalyptic number.

122345080 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 122345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164475360).

122345080 is an abundant number, since it is smaller than the sum of its proper divisors (206605640).

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

122345080 is a wasteful number, since it uses less digits than its factorization.

122345080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 122345080 is about 11060.9710242817. The cubic root of 122345080 is about 496.4347450044.

The spelling of 122345080 in words is "one hundred twenty-two million, three hundred forty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 73 88 104 110 130 143 146 220 260 286 292 293 365 440 520 572 584 586 715 730 803 949 1144 1172 1430 1460 1465 1606 1898 2344 2860 2920 2930 3212 3223 3796 3809 4015 4745 5720 5860 6424 6446 7592 7618 8030 9490 10439 11720 12892 15236 16060 16115 18980 19045 20878 21389 25784 30472 32120 32230 37960 38090 41756 41899 42778 52195 64460 76180 83512 83798 85556 104390 106945 128920 152360 167596 171112 208780 209495 213890 235279 278057 335192 417560 418990 427780 470558 556114 837980 855560 941116 1112228 1176395 1390285 1675960 1882232 2224456 2352790 2780570 3058627 4705580 5561140 6117254 9411160 11122280 12234508 15293135 24469016 30586270 61172540 122345080