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120532012224 = 26313371305137
BaseRepresentation
bin111000001000001000…
…1001000110011000000
3102112010002020122001220
41300100101020303000
53433322143342344
6131212135155040
711464616125311
oct1602021106300
9375102218056
10120532012224
11471321a6848
121b439b15a80
13b49b49a2c0
145b95c72608
153206a43c19
hex1c10448cc0

120532012224 has 112 divisors (see below), whose sum is σ = 352721375328. Its totient is φ = 36084400128.

The previous prime is 120532012217. The next prime is 120532012243. The reversal of 120532012224 is 422210235021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120532012194 and 120532012203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560217 + ... + 744920.

It is an arithmetic number, because the mean of its divisors is an integer number (3149297994).

Almost surely, 2120532012224 is an apocalyptic number.

It is an amenable number.

120532012224 is an abundant number, since it is smaller than the sum of its proper divisors (232189363104).

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

120532012224 is a wasteful number, since it uses less digits than its factorization.

120532012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305202 (or 1305192 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 120532012224 its reverse (422210235021), we get a palindrome (542742247245).

The spelling of 120532012224 in words is "one hundred twenty billion, five hundred thirty-two million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 832 888 962 1184 1248 1443 1776 1924 2368 2496 2886 3552 3848 5772 7104 7696 11544 15392 23088 30784 46176 92352 1305137 2610274 3915411 5220548 7830822 10441096 15661644 16966781 20882192 31323288 33933562 41764384 48290069 50900343 62646576 67867124 83528768 96580138 101800686 125293152 135734248 144870207 193160276 203601372 250586304 271468496 289740414 386320552 407202744 542936992 579480828 627770897 772641104 814405488 1085873984 1158961656 1255541794 1545282208 1628810976 1883312691 2317923312 2511083588 3090564416 3257621952 3766625382 4635846624 5022167176 7533250764 9271693248 10044334352 15066501528 20088668704 30133003056 40177337408 60266006112 120532012224