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122910756630064 = 24131957495409793
BaseRepresentation
bin11011111100100101100011…
…111111001110111000110000
3121010012011010221220101120221
4123330211203333032320300
5112102232212144130224
61113224231101142424
734614003062256244
oct3374454377167060
9533164127811527
10122910756630064
11361881829281a7
1211950b1785aa14
135377585b13ab0
14224ccab744424
15e322ce1796e4
hex6fc963fcee30

122910756630064 has 80 divisors (see below), whose sum is σ = 270002818540000. Its totient is φ = 53732997070848.

The previous prime is 122910756630043. The next prime is 122910756630073. The reversal of 122910756630064 is 460036657019221.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 122910756629993 and 122910756630020.

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, 20015152 + ... + 25424944.

It is an arithmetic number, because the mean of its divisors is an integer number (3375035231750).

Almost surely, 2122910756630064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122910756630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135001409270000).

122910756630064 is an abundant number, since it is smaller than the sum of its proper divisors (147092061909936).

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

122910756630064 is a wasteful number, since it uses less digits than its factorization.

122910756630064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415582 (or 5415576 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 122910756630064 in words is "one hundred twenty-two trillion, nine hundred ten billion, seven hundred fifty-six million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 5749 11498 22996 45992 74737 91984 109231 149474 218462 298948 436924 597896 873848 1195792 1420003 1747696 2840006 5409793 5680012 10819586 11360024 21639172 22720048 43278344 70327309 86556688 102786067 140654618 205572134 281309236 411144268 562618472 822288536 1125236944 1336218871 1644577072 2672437742 5344875484 10689750968 21379501936 31100899957 62201799914 124403599828 248807199656 404311699441 497614399312 590917099183 808623398882 1181834198366 1617246797764 2363668396732 3234493595528 4727336793464 6468987191056 7681922289379 9454673586928 15363844578758 30727689157516 61455378315032 122910756630064