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122997510240 = 25351123294983
BaseRepresentation
bin111001010001100111…
…0010001000001100000
3102202110220111220112020
41302203032101001200
54003344330311430
6132300531301440
711612664405213
oct1624316210140
9382426456466
10122997510240
1148187984a10
121ba0774a880
13b7a2209577
145d4b4a177a
1532ed206b10
hex1ca3391060

122997510240 has 96 divisors (see below), whose sum is σ = 422664189696. Its totient is φ = 29817576960.

The previous prime is 122997510227. The next prime is 122997510263. The reversal of 122997510240 is 42015799221.

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 = 122997510192 and 122997510201.

It is a congruent number.

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, 11642212 + ... + 11652771.

It is an arithmetic number, because the mean of its divisors is an integer number (4402751976).

Almost surely, 2122997510240 is an apocalyptic number.

122997510240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122997510240 is an abundant number, since it is smaller than the sum of its proper divisors (299666679456).

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

122997510240 is a wasteful number, since it uses less digits than its factorization.

122997510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23295012 (or 23295004 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 122997510240 in words is "one hundred twenty-two billion, nine hundred ninety-seven million, five hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 23294983 46589966 69884949 93179932 116474915 139769898 186359864 232949830 256244813 279539796 349424745 372719728 465899660 512489626 559079592 698849490 745439456 768734439 931799320 1024979252 1118159184 1281224065 1397698980 1537468878 1863598640 2049958504 2236318368 2562448130 2795397960 3074937756 3727197280 3843672195 4099917008 5124896260 5590795920 6149875512 7687344390 8199834016 10249792520 11181591840 12299751024 15374688780 20499585040 24599502048 30749377560 40999170080 61498755120 122997510240