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122502800016 = 2432291672
BaseRepresentation
bin111001000010110111…
…1000110001010010000
3102201012102122000200100
41302011233012022100
54001341204100031
6132135500052400
711564506422312
oct1620557061220
9381172560610
10122502800016
1147a53700893
121b8a9b34100
13b72388711c
145d018c57b2
1532bea85de6
hex1c85bc6290

122502800016 has 45 divisors (see below), whose sum is σ = 342849451971. Its totient is φ = 40832866656.

The previous prime is 122502800009. The next prime is 122502800027. The reversal of 122502800016 is 610008205221.

It is a happy number.

The square root of 122502800016 is 350004.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4185465 + ... + 4214631.

Almost surely, 2122502800016 is an apocalyptic number.

122502800016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122502800016 is the 350004-th square number.

It is an amenable number.

122502800016 is an abundant number, since it is smaller than the sum of its proper divisors (220346651955).

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

122502800016 is an frugal number, since it uses more digits than its factorization.

122502800016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58348 (or 29172 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 122502800016 in words is "one hundred twenty-two billion, five hundred two million, eight hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 29167 58334 87501 116668 175002 233336 262503 350004 466672 525006 700008 1050012 1400016 2100024 4200048 850713889 1701427778 2552141667 3402855556 5104283334 6805711112 7656425001 10208566668 13611422224 15312850002 20417133336 30625700004 40834266672 61251400008 122502800016