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114120120 = 2335951001
BaseRepresentation
bin1101100110101…
…01010110111000
321221201220101010
412303111112320
5213203320440
615153553520
72554001502
oct663252670
9257656333
10114120120
1159466154
12322758a0
131a8487ca
1411228d72
15a043580
hex6cd55b8

114120120 has 32 divisors (see below), whose sum is σ = 342360720. Its totient is φ = 30432000.

The previous prime is 114120119. The next prime is 114120121. The reversal of 114120120 is 21021411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114120119) and next prime (114120121).

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

It is a junction number, because it is equal to n+sod(n) for n = 114120096 and 114120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114120121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475381 + ... + 475620.

Almost surely, 2114120120 is an apocalyptic number.

114120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114120120 is an abundant number, since it is smaller than the sum of its proper divisors (228240600).

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

114120120 is a wasteful number, since it uses less digits than its factorization.

114120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951015 (or 951011 counting only the distinct ones).

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

The square root of 114120120 is about 10682.7019054170. The cubic root of 114120120 is about 485.0510025366.

Adding to 114120120 its reverse (21021411), we get a palindrome (135141531).

The spelling of 114120120 in words is "one hundred fourteen million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 951001 1902002 2853003 3804004 4755005 5706006 7608008 9510010 11412012 14265015 19020020 22824024 28530030 38040040 57060060 114120120