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120808116 = 2232111331757
BaseRepresentation
bin1110011001101…
…10001010110100
322102022200120200
413030312022310
5221411324431
615553200500
72664565152
oct714661264
9272280520
10120808116
1162213a20
1234560130
131c04a9c0
141208a3d2
15a914ee6
hex73362b4

120808116 has 144 divisors (see below), whose sum is σ = 370825728. Its totient is φ = 32659200.

The previous prime is 120808109. The next prime is 120808139. The reversal of 120808116 is 611808021.

It is a self number, because there is not a number n which added to its sum of digits gives 120808116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159210 + ... + 159966.

Almost surely, 2120808116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120808116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185412864).

120808116 is an abundant number, since it is smaller than the sum of its proper divisors (250017612).

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

120808116 is a wasteful number, since it uses less digits than its factorization.

120808116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 120808116 is about 10991.2745393790. The cubic root of 120808116 is about 494.3471528174.

The spelling of 120808116 in words is "one hundred twenty million, eight hundred eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 757 806 858 1023 1116 1209 1287 1364 1514 1612 1716 2046 2271 2418 2574 3028 3069 3627 4092 4433 4542 4836 5148 6138 6813 7254 8327 8866 9084 9841 12276 13299 13626 14508 16654 17732 19682 23467 24981 26598 27252 29523 33308 39364 39897 46934 49962 53196 59046 70401 74943 79794 88569 93868 99924 108251 118092 140802 149886 159588 177138 211203 216502 258137 281604 299772 305071 324753 354276 422406 433004 516274 610142 649506 774411 844812 915213 974259 1032548 1220284 1299012 1548822 1830426 1948518 2323233 2745639 3097644 3355781 3660852 3897036 4646466 5491278 6711562 9292932 10067343 10982556 13423124 20134686 30202029 40269372 60404058 120808116