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121923180625 = 54139672
BaseRepresentation
bin111000110001100110…
…0000001100001010001
3102122201000222022100111
41301203030001201101
53444144313240000
6132002152521321
711544240636001
oct1614314014121
9378630868314
10121923180625
11477865031a4
121b7679b0241
13b660775c7c
145c88926001
153288c41cba
hex1c63301851

121923180625 has 15 divisors (see below), whose sum is σ = 152366115517. Its totient is φ = 97531561000.

The previous prime is 121923180607. The next prime is 121923180641. The reversal of 121923180625 is 526081329121.

It is a happy number.

The square root of 121923180625 is 349175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9558777361 + 112364403264 = 97769^2 + 335208^2 .

It is not a de Polignac number, because 121923180625 - 25 = 121923180593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8722392 + ... + 8736358.

Almost surely, 2121923180625 is an apocalyptic number.

121923180625 is the 349175-th square number.

121923180625 is the 174588-th centered octagonal number.

It is an amenable number.

121923180625 is a deficient number, since it is larger than the sum of its proper divisors (30442934892).

121923180625 is an frugal number, since it uses more digits than its factorization.

121923180625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27954 (or 13972 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 121923180625 in words is "one hundred twenty-one billion, nine hundred twenty-three million, one hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 13967 69835 349175 1745875 8729375 195077089 975385445 4876927225 24384636125 121923180625