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120232232232 = 233743139119737
BaseRepresentation
bin110111111111001100…
…1100100010100101000
3102111100012011020020020
41233332121210110220
53432213422412412
6131122310000440
711454316053210
oct1577631442450
9374305136206
10120232232232
1146a98a62692
121b375646120
13b4513486a8
145b68119240
1531da57a18c
hex1bfe664528

120232232232 has 128 divisors (see below), whose sum is σ = 354041318400. Its totient is φ = 33311513088.

The previous prime is 120232232227. The next prime is 120232232273. The reversal of 120232232232 is 232232232021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944268 + ... + 1064004.

It is an arithmetic number, because the mean of its divisors is an integer number (2765947800).

Almost surely, 2120232232232 is an apocalyptic number.

120232232232 is a gapful number since it is divisible by the number (12) 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 120232232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177020659200).

120232232232 is an abundant number, since it is smaller than the sum of its proper divisors (233809086168).

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

120232232232 is a wasteful number, since it uses less digits than its factorization.

120232232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119935 (or 119931 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 120232232232 its reverse (232232232021), we get a palindrome (352464464253).

The spelling of 120232232232 in words is "one hundred twenty billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 139 168 172 258 278 301 344 417 516 556 602 834 903 973 1032 1112 1204 1668 1806 1946 2408 2919 3336 3612 3892 5838 5977 7224 7784 11676 11954 17931 23352 23908 35862 41839 47816 71724 83678 119737 125517 143448 167356 239474 251034 334712 359211 478948 502068 718422 838159 957896 1004136 1436844 1676318 2514477 2873688 3352636 5028954 5148691 6705272 10057908 10297382 15446073 16643443 20115816 20594764 30892146 33286886 36040837 41189528 49930329 61784292 66573772 72081674 99860658 108122511 116504101 123568584 133147544 144163348 199721316 216245022 233008202 288326696 349512303 399442632 432490044 466016404 699024606 715668049 864980088 932032808 1398049212 1431336098 2147004147 2796098424 2862672196 4294008294 5009676343 5725344392 8588016588 10019352686 15029029029 17176033176 20038705372 30058058058 40077410744 60116116116 120232232232