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120441312 = 2532418199
BaseRepresentation
bin1110010110111…
…00100111100000
322101122001102100
413023130213200
5221313110222
615541250400
72661506565
oct713344740
9271561370
10120441312
1161a93382
1234403a00
131bc4ca64
1411dd286c
15a8914ac
hex72dc9e0

120441312 has 36 divisors (see below), whose sum is σ = 342505800. Its totient is φ = 40147008.

The previous prime is 120441289. The next prime is 120441331. The reversal of 120441312 is 213144021.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1204413122 = 29012219272562688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208812 + ... + 209387.

It is an arithmetic number, because the mean of its divisors is an integer number (9514050).

Almost surely, 2120441312 is an apocalyptic number.

120441312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120441312 is an abundant number, since it is smaller than the sum of its proper divisors (222064488).

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

120441312 is a wasteful number, since it uses less digits than its factorization.

120441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418215 (or 418204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120441312 is about 10974.5757093384. The cubic root of 120441312 is about 493.8463245922.

Adding to 120441312 its reverse (213144021), we get a palindrome (333585333).

The spelling of 120441312 in words is "one hundred twenty million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 418199 836398 1254597 1672796 2509194 3345592 3763791 5018388 6691184 7527582 10036776 13382368 15055164 20073552 30110328 40147104 60220656 120441312