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120666372 = 223235373113
BaseRepresentation
bin1110011000100…
…11100100000100
322102001111010220
413030103210010
5221342310442
615550144340
72663435001
oct714234404
9272044126
10120666372
1162127482
12344b20b0
131bccb328
14120508a8
15a8d7eec
hex7313904

120666372 has 96 divisors (see below), whose sum is σ = 306125568. Its totient is φ = 36900864.

The previous prime is 120666341. The next prime is 120666421. The reversal of 120666372 is 273666021.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067788 + ... + 1067900.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2120666372 is an apocalyptic number.

120666372 is a gapful number since it is divisible by the number (12) 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 120666372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

120666372 is an abundant number, since it is smaller than the sum of its proper divisors (185459196).

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

120666372 is a wasteful number, since it uses less digits than its factorization.

120666372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 120666372 is about 10984.8246230880. The cubic root of 120666372 is about 494.1537382034.

The spelling of 120666372 in words is "one hundred twenty million, six hundred sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 73 92 106 113 138 146 159 212 219 226 276 292 318 339 438 452 636 678 876 1219 1356 1679 2438 2599 3358 3657 3869 4876 5037 5198 5989 6716 7314 7738 7797 8249 10074 10396 11607 11978 14628 15476 15594 16498 17967 20148 23214 23956 24747 31188 32996 35934 46428 49494 71868 88987 98988 137747 177974 189727 266961 275494 355948 379454 413241 437197 533922 550988 569181 758908 826482 874394 1067844 1138362 1311591 1652964 1748788 2276724 2623182 5246364 10055531 20111062 30166593 40222124 60333186 120666372