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120997650336 = 25313711517993
BaseRepresentation
bin111000010110000000…
…1011001111110100000
3102120022112102111110220
41300230001121332200
53440300344302321
6131330251323040
711512302025653
oct1605401317640
9376275374426
10120997650336
1147351023632
121b549a50480
13b543ab0c04
145bdba4189a
1532328709c6
hex1c2c059fa0

120997650336 has 96 divisors (see below), whose sum is σ = 320255244288. Its totient is φ = 39998361600.

The previous prime is 120997650313. The next prime is 120997650349. The reversal of 120997650336 is 633056799021.

It is a happy number.

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

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, 15133956 + ... + 15141948.

It is an arithmetic number, because the mean of its divisors is an integer number (3335992128).

Almost surely, 2120997650336 is an apocalyptic number.

120997650336 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 120997650336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160127622144).

120997650336 is an abundant number, since it is smaller than the sum of its proper divisors (199257593952).

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

120997650336 is a wasteful number, since it uses less digits than its factorization.

120997650336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 120997650336 in words is "one hundred twenty billion, nine hundred ninety-seven million, six hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1151 1644 2192 2302 3288 3453 4384 4604 6576 6906 7993 9208 13152 13812 15986 18416 23979 27624 31972 36832 47958 55248 63944 95916 110496 127888 157687 191832 255776 315374 383664 473061 630748 767328 946122 1095041 1261496 1892244 2190082 2522992 3285123 3784488 4380164 5045984 6570246 7568976 8760328 9199943 13140492 15137952 17520656 18399886 26280984 27599829 35041312 36799772 52561968 55199658 73599544 105123936 110399316 147199088 220798632 294398176 441597264 883194528 1260392191 2520784382 3781176573 5041568764 7562353146 10083137528 15124706292 20166275056 30249412584 40332550112 60498825168 120997650336