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120219923808 = 253217106123143
BaseRepresentation
bin110111111110110101…
…0100111010101100000
3102111022022222220020200
41233331222213111200
53432202300030213
6131121150105200
711454106330455
oct1577552472540
9374268886220
10120219923808
1146a92016136
121b3714ab200
13b44b9291ba
145b6663382c
1531d9448273
hex1bfdaa7560

120219923808 has 144 divisors (see below), whose sum is σ = 362342556576. Its totient is φ = 37678878720.

The previous prime is 120219923779. The next prime is 120219923819. The reversal of 120219923808 is 808329912021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5183085 + ... + 5206227.

It is an arithmetic number, because the mean of its divisors is an integer number (2516267754).

Almost surely, 2120219923808 is an apocalyptic number.

120219923808 is a gapful number since it is divisible by the number (18) 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 120219923808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181171278288).

120219923808 is an abundant number, since it is smaller than the sum of its proper divisors (242122632768).

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

120219923808 is a wasteful number, since it uses less digits than its factorization.

120219923808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24237 (or 24226 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 120219923808 in words is "one hundred twenty billion, two hundred nineteen million, nine hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1061 1224 1632 2122 2448 3183 4244 4896 6366 8488 9549 12732 16976 18037 19098 23143 25464 33952 36074 38196 46286 50928 54111 69429 72148 76392 92572 101856 108222 138858 144296 152784 162333 185144 208287 216444 277716 288592 305568 324666 370288 393431 416574 432888 555432 577184 649332 740576 786862 833148 865776 1110864 1180293 1298664 1573724 1666296 1731552 2221728 2360586 2597328 3147448 3332592 3540879 4721172 5194656 6294896 6665184 7081758 9442344 12589792 14163516 18884688 24554723 28327032 37769376 49109446 56654064 73664169 98218892 113308128 147328338 196437784 220992507 294656676 392875568 417430291 441985014 589313352 785751136 834860582 883970028 1178626704 1252290873 1669721164 1767940056 2357253408 2504581746 3339442328 3535880112 3756872619 5009163492 6678884656 7071760224 7513745238 10018326984 13357769312 15027490476 20036653968 30054980952 40073307936 60109961904 120219923808