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120940495225 = 5211263232
BaseRepresentation
bin111000010100010011…
…1011000000101111001
3102120011112212201101221
41300220213120011321
53440141231321400
6131320450312041
711511006150664
oct1605047300571
9376145781357
10120940495225
1147321836100
121b532888621
13b534cbbb14
145bd42046db
15322c830c1a
hex1c289d8179

120940495225 has 27 divisors (see below), whose sum is σ = 164864970319. Its totient is φ = 87942813200.

The previous prime is 120940495219. The next prime is 120940495231. The reversal of 120940495225 is 522594049021.

The square root of 120940495225 is 347765.

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

It is an interprime number because it is at equal distance from previous prime (120940495219) and next prime (120940495231).

It can be written as a sum of positive squares in only one way, i.e., 43538578281 + 77401916944 = 208659^2 + 278212^2 .

It is not a de Polignac number, because 120940495225 - 23 = 120940495217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19123914 + ... + 19130236.

Almost surely, 2120940495225 is an apocalyptic number.

120940495225 is the 347765-th square number.

120940495225 is the 173883-rd centered octagonal number.

It is an amenable number.

120940495225 is a deficient number, since it is larger than the sum of its proper divisors (43924475094).

120940495225 is an frugal number, since it uses more digits than its factorization.

120940495225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12678 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 120940495225 in words is "one hundred twenty billion, nine hundred forty million, four hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 6323 31615 69553 158075 347765 765083 1738825 3825415 19127075 39980329 199901645 439783619 999508225 2198918095 4837619809 10994590475 24188099045 120940495225