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120132120 = 23359711031
BaseRepresentation
bin1110010100100…
…01001000011000
322101001100021210
413022101020120
5221223211440
615530503120
72656051263
oct712211030
9271040253
10120132120
11618a2049
1234294aa0
131bb720c4
1411d51cda
15a82ea80
hex7291218

120132120 has 64 divisors (see below), whose sum is σ = 361117440. Its totient is φ = 31971200.

The previous prime is 120132113. The next prime is 120132143. The reversal of 120132120 is 21231021.

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 = 120132096 and 120132105.

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, 116005 + ... + 117035.

It is an arithmetic number, because the mean of its divisors is an integer number (5642460).

Almost surely, 2120132120 is an apocalyptic number.

120132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120132120 is an abundant number, since it is smaller than the sum of its proper divisors (240985320).

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

120132120 is a wasteful number, since it uses less digits than its factorization.

120132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120132120 is about 10960.4799165000. The cubic root of 120132120 is about 493.4233684386.

Adding to 120132120 its reverse (21231021), we get a palindrome (141363141).

The spelling of 120132120 in words is "one hundred twenty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 971 1031 1942 2062 2913 3093 3884 4124 4855 5155 5826 6186 7768 8248 9710 10310 11652 12372 14565 15465 19420 20620 23304 24744 29130 30930 38840 41240 58260 61860 116520 123720 1001101 2002202 3003303 4004404 5005505 6006606 8008808 10011010 12013212 15016515 20022020 24026424 30033030 40044040 60066060 120132120