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120210002120096 = 2573536011252913
BaseRepresentation
bin11011010101010010010010…
…011110011000110110100000
3120202121222000201211001210022
4123111102102132120312200
5111224010041020320341
61103355413531053012
734214612625563150
oct3325222236306640
9522558021731708
10120210002120096
1135336859368269
12115956065a1168
13520c9a69c92b5
1421982a36a6760
15dd6e10c55e4b
hex6d5492798da0

120210002120096 has 96 divisors (see below), whose sum is σ = 271284912194688. Its totient is φ = 51363877847040.

The previous prime is 120210002120081. The next prime is 120210002120101. The reversal of 120210002120096 is 690021200012021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475175336 + ... + 475428248.

It is an arithmetic number, because the mean of its divisors is an integer number (2825884502028).

Almost surely, 2120210002120096 is an apocalyptic number.

120210002120096 is a gapful number since it is divisible by the number (16) 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 120210002120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135642456097344).

120210002120096 is an abundant number, since it is smaller than the sum of its proper divisors (151074910074592).

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

120210002120096 is a wasteful number, since it uses less digits than its factorization.

120210002120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259294 (or 259286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 120210002120096 in words is "one hundred twenty trillion, two hundred ten billion, two million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 353 706 1412 2471 2824 4942 5648 6011 9884 11296 12022 19768 24044 39536 42077 48088 79072 84154 96176 168308 192352 252913 336616 505826 673232 1011652 1346464 1770391 2023304 2121883 3540782 4046608 4243766 7081564 8093216 8487532 14163128 14853181 16975064 28326256 29706362 33950128 56652512 59412724 67900256 89278289 118825448 178556578 237650896 357113156 475301792 624948023 714226312 1249896046 1428452624 1520260043 2499792092 2856905248 3040520086 4999584184 6081040172 9999168368 10641820301 12162080344 19998336736 21283640602 24324160688 42567281204 48648321376 85134562408 170269124816 340538249632 536651795179 1073303590358 2146607180716 3756562566253 4293214361432 7513125132506 8586428722864 15026250265012 17172857445728 30052500530024 60105001060048 120210002120096