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132122120 = 235132311047
BaseRepresentation
bin1111110000000…
…00011000001000
3100012121111110212
413320000120020
5232310401440
621035500252
73163006454
oct770003010
9305544425
10132122120
1168641339
12382b7688
13214ac690
1413793664
15b8ec465
hex7e00608

132122120 has 64 divisors (see below), whose sum is σ = 334091520. Its totient is φ = 46658304.

The previous prime is 132122119. The next prime is 132122129. The reversal of 132122120 is 21221231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132122095 and 132122104.

It is not an unprimeable number, because it can be changed into a prime (132122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6437 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (5220180).

Almost surely, 2132122120 is an apocalyptic number.

132122120 is a gapful number since it is divisible by the number (10) 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 132122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167045760).

132122120 is an abundant number, since it is smaller than the sum of its proper divisors (201969400).

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

132122120 is a wasteful number, since it uses less digits than its factorization.

132122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11090 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132122120 is about 11494.4386552802. The cubic root of 132122120 is about 509.3213066216.

Adding to 132122120 its reverse (21221231), we get a palindrome (153343351).

The spelling of 132122120 in words is "one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11047 11960 22094 44188 55235 88376 110470 143611 220940 254081 287222 441880 508162 574444 718055 1016324 1148888 1270405 1436110 2032648 2540810 2872220 3303053 5081620 5744440 6606106 10163240 13212212 16515265 26424424 33030530 66061060 132122120