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120114012 = 223179199281
BaseRepresentation
bin1110010100011…
…00101101011100
322101000102110010
413022030231130
5221222122022
615530243220
72655644424
oct712145534
9271012403
10120114012
116188a487
1234286510
131bb66aa5
1411d49484
15a82950c
hex728cb5c

120114012 has 48 divisors (see below), whose sum is σ = 284256000. Its totient is φ = 39473280.

The previous prime is 120113977. The next prime is 120114047. The reversal of 120114012 is 210411021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120113977) and next prime (120114047).

It is a super-2 number, since 2×1201140122 = 28854751757472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427312 + ... + 427592.

It is an arithmetic number, because the mean of its divisors is an integer number (5922000).

Almost surely, 2120114012 is an apocalyptic number.

120114012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120114012 is an abundant number, since it is smaller than the sum of its proper divisors (164141988).

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

120114012 is a wasteful number, since it uses less digits than its factorization.

120114012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120114012 is about 10959.6538266498. The cubic root of 120114012 is about 493.3985752933.

Adding to 120114012 its reverse (210411021), we get a palindrome (330525033).

The spelling of 120114012 in words is "one hundred twenty million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 179 199 281 358 398 537 562 597 716 796 843 1074 1124 1194 1686 2148 2388 3372 35621 50299 55919 71242 100598 106863 111838 142484 150897 167757 201196 213726 223676 301794 335514 427452 603588 671028 10009501 20019002 30028503 40038004 60057006 120114012