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1120122120 = 2335131813967
BaseRepresentation
bin100001011000011…
…1011010100001000
32220001201002200110
41002300323110020
54243222401440
6303052034320
736520611105
oct10260732410
92801632613
101120122120
11525309367
122731629a0
1314b0a7870
14a8a99aac
156850d080
hex42c3b508

1120122120 has 128 divisors (see below), whose sum is σ = 3639767040. Its totient is φ = 274129920.

The previous prime is 1120122043. The next prime is 1120122121. The reversal of 1120122120 is 212210211.

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 = 1120122096 and 1120122105.

It is not an unprimeable number, because it can be changed into a prime (1120122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280377 + ... + 284343.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 21120122120 is an apocalyptic number.

1120122120 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 1120122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1120122120 is an abundant number, since it is smaller than the sum of its proper divisors (2519644920).

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

1120122120 is a wasteful number, since it uses less digits than its factorization.

1120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4171 counting only the distinct ones).

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

The square root of 1120122120 is about 33468.2255281035. The cubic root of 1120122120 is about 1038.5365634854.

Adding to 1120122120 its reverse (212210211), we get a palindrome (1332332331).

The spelling of 1120122120 in words is "one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 181 195 260 312 362 390 520 543 724 780 905 1086 1448 1560 1810 2172 2353 2715 3620 3967 4344 4706 5430 7059 7240 7934 9412 10860 11765 11901 14118 15868 18824 19835 21720 23530 23802 28236 31736 35295 39670 47060 47604 51571 56472 59505 70590 79340 94120 95208 103142 119010 141180 154713 158680 206284 238020 257855 282360 309426 412568 476040 515710 618852 718027 773565 1031420 1237704 1436054 1547130 2062840 2154081 2872108 3094260 3590135 4308162 5744216 6188520 7180270 8616324 9334351 10770405 14360540 17232648 18668702 21540810 28003053 28721080 37337404 43081620 46671755 56006106 74674808 86163240 93343510 112012212 140015265 186687020 224024424 280030530 373374040 560061060 1120122120