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120330131232 = 25316326712879
BaseRepresentation
bin111000000010000111…
…1000001011100100000
3102111121000101000102010
41300010033001130200
53432414003144412
6131140124152520
711456615145063
oct1600417013440
9374530330363
10120330131232
1147039249653
121b3a2398740
13b468704aac
145b771208da
1531e3e6733c
hex1c043c1720

120330131232 has 96 divisors (see below), whose sum is σ = 318033838080. Its totient is φ = 39835203840.

The previous prime is 120330131231. The next prime is 120330131261. The reversal of 120330131232 is 232131033021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 120330131199 and 120330131208.

It is not an unprimeable number, because it can be changed into a prime (120330131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41794369 + ... + 41797247.

It is an arithmetic number, because the mean of its divisors is an integer number (3312852480).

Almost surely, 2120330131232 is an apocalyptic number.

120330131232 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 120330131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159016919040).

120330131232 is an abundant number, since it is smaller than the sum of its proper divisors (197703706848).

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

120330131232 is a wasteful number, since it uses less digits than its factorization.

120330131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120330131232 its reverse (232131033021), we get a palindrome (352461164253).

The spelling of 120330131232 in words is "one hundred twenty billion, three hundred thirty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 2671 2879 3912 5216 5342 5758 7824 8013 8637 10684 11516 15648 16026 17274 21368 23032 32052 34548 42736 46064 64104 69096 85472 92128 128208 138192 256416 276384 435373 469277 870746 938554 1306119 1407831 1741492 1877108 2612238 2815662 3482984 3754216 5224476 5631324 6965968 7508432 7689809 10448952 11262648 13931936 15016864 15379618 20897904 22525296 23069427 30759236 41795808 45050592 46138854 61518472 92277708 123036944 184555416 246073888 369110832 738221664 1253438867 2506877734 3760316601 5013755468 7520633202 10027510936 15041266404 20055021872 30082532808 40110043744 60165065616 120330131232