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120201172 = 227132959193
BaseRepresentation
bin1110010101000…
…01111111010100
322101011212000021
413022201333110
5221232414142
615532154524
72656456510
oct712417724
9271155007
10120201172
1161939a13
1234308a44
131bb97670
1411d6d140
15a845267
hex72a1fd4

120201172 has 96 divisors (see below), whose sum is σ = 273772800. Its totient is φ = 44900352.

The previous prime is 120201127. The next prime is 120201173. The reversal of 120201172 is 271102021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622708 + ... + 622900.

It is an arithmetic number, because the mean of its divisors is an integer number (2851800).

Almost surely, 2120201172 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 120201172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136886400).

120201172 is an abundant number, since it is smaller than the sum of its proper divisors (153571628).

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

120201172 is a wasteful number, since it uses less digits than its factorization.

120201172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 120201172 is about 10963.6295085159. The cubic root of 120201172 is about 493.5178903265.

Adding to 120201172 its reverse (271102021), we get a palindrome (391303193).

The spelling of 120201172 in words is "one hundred twenty million, two hundred one thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 59 91 116 118 182 193 203 236 364 377 386 406 413 754 767 772 812 826 1351 1508 1534 1652 1711 2509 2639 2702 3068 3422 5018 5278 5369 5404 5597 6844 10036 10556 10738 11194 11387 11977 17563 21476 22243 22388 22774 23954 35126 39179 44486 45548 47908 70252 72761 78358 79709 88972 145522 148031 155701 156716 159418 291044 296062 311402 318836 330223 509327 592124 622804 660446 1018654 1036217 1320892 2037308 2072434 2311561 4144868 4292899 4623122 8585798 9246244 17171596 30050293 60100586 120201172