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120125420676 = 223215721253613
BaseRepresentation
bin110111111100000001…
…0000111010010000100
3102111001202011122022200
41233320002013102010
53432004101430201
6131103532354500
711451551141232
oct1577002072204
9374052148280
10120125420676
1146a43739578
121b345915a30
13b43518b6a1
145b57c73952
1531d0ecc386
hex1bf8087484

120125420676 has 36 divisors (see below), whose sum is σ = 305584462092. Its totient is φ = 39786761664.

The previous prime is 120125420629. The next prime is 120125420677. The reversal of 120125420676 is 676024521021.

It is a happy number.

120125420676 is a `hidden beast` number, since 1 + 201 + 25 + 420 + 6 + 7 + 6 = 666.

120125420676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12193459776 + 107931960900 = 110424^2 + 328530^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120125420676.

It is not an unprimeable number, because it can be changed into a prime (120125420677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10621155 + ... + 10632458.

Almost surely, 2120125420676 is an apocalyptic number.

It is an amenable number.

120125420676 is an abundant number, since it is smaller than the sum of its proper divisors (185459041416).

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

120125420676 is a wasteful number, since it uses less digits than its factorization.

120125420676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21253780 (or 21253775 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 120125420676 its reverse (676024521021), we get a palindrome (796149941697).

The spelling of 120125420676 in words is "one hundred twenty billion, one hundred twenty-five million, four hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 21253613 42507226 63760839 85014452 127521678 191282517 255043356 382565034 765130068 3336817241 6673634482 10010451723 13347268964 20020903446 30031355169 40041806892 60062710338 120125420676