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120121125201 = 33711101956701
BaseRepresentation
bin110111111011111000…
…1101110100101010001
3102111001110002102001000
41233313301232211101
53432002002001301
6131103300332213
711451466501050
oct1576761564521
9374043072030
10120121125201
1146a412752a0
121b3443a4069
13b43431649c
145b57476397
1531d092e786
hex1bf7c6e951

120121125201 has 64 divisors (see below), whose sum is σ = 222090393600. Its totient is φ = 62338248000.

The previous prime is 120121125193. The next prime is 120121125203. The reversal of 120121125201 is 102521121021.

120121125201 is a `hidden beast` number, since 1 + 20 + 12 + 112 + 520 + 1 = 666.

It is not a de Polignac number, because 120121125201 - 23 = 120121125193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120121125203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2090151 + ... + 2146851.

It is an arithmetic number, because the mean of its divisors is an integer number (3470162400).

Almost surely, 2120121125201 is an apocalyptic number.

120121125201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120121125201 is a deficient number, since it is larger than the sum of its proper divisors (101969268399).

120121125201 is a wasteful number, since it uses less digits than its factorization.

120121125201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57747 (or 57741 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 120121125201 its reverse (102521121021), we get a palindrome (222642246222).

The spelling of 120121125201 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred twenty-five thousand, two hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1019 2079 3057 7133 9171 11209 21399 27513 33627 56701 64197 78463 100881 170103 192591 235389 302643 396907 510309 623711 706167 1190721 1530927 1871133 2118501 3572163 4365977 5613399 10716489 13097931 16840197 39293793 57778319 117881379 173334957 404448233 520004871 635561509 1213344699 1560014613 1906684527 3640034097 4448930563 5720053581 10920102291 13346791689 17160160743 40040375067 120121125201