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120972491721 = 3219126072
BaseRepresentation
bin111000010101010000…
…1011011101111001001
3102120020210002022100100
41300222201123233021
53440222424213341
6131323552200013
711511545133144
oct1605241335711
9376223068310
10120972491721
11473388aa594
121b541539009
13b53b812763
145bd857305b
1532305513b6
hex1c2a85bbc9

120972491721 has 27 divisors (see below), whose sum is σ = 175947555693. Its totient is φ = 80093917080.

The previous prime is 120972491707. The next prime is 120972491747. The reversal of 120972491721 is 127194279021.

It is a happy number.

The square root of 120972491721 is 347811.

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

120972491721 is a `hidden beast` number, since 1 + 2 + 0 + 97 + 2 + 491 + 72 + 1 = 666.

It is not a de Polignac number, because 120972491721 - 29 = 120972491209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120972491701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199295400 + ... + 199296006.

Almost surely, 2120972491721 is an apocalyptic number.

120972491721 is the 347811-st square number.

120972491721 is the 173906-th centered octagonal number.

It is an amenable number.

120972491721 is a deficient number, since it is larger than the sum of its proper divisors (54975063972).

120972491721 is an frugal number, since it uses more digits than its factorization.

120972491721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 120972491721 in words is "one hundred twenty billion, nine hundred seventy-two million, four hundred ninety-one thousand, seven hundred twenty-one".

Divisors: 1 3 9 191 573 607 1719 1821 5463 36481 109443 115937 328329 347811 368449 1043433 1105347 3316041 22143967 66431901 70373759 199295703 211121277 633363831 13441387969 40324163907 120972491721