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122121045 = 3257693529
BaseRepresentation
bin1110100011101…
…10101101010101
322111210101120200
413101312231111
5222230333140
620041251113
73012004014
oct721665525
9274711520
10122121045
1162a30392
1234a93a99
131c3ba497
141230ca7b
15aac4030
hex7476b55

122121045 has 24 divisors (see below), whose sum is σ = 212011800. Its totient is φ = 65028096.

The previous prime is 122121017. The next prime is 122121061. The reversal of 122121045 is 540121221.

It can be written as a sum of positive squares in 4 ways, for example, as 106929 + 122014116 = 327^2 + 11046^2 .

It is not a de Polignac number, because 122121045 - 26 = 122120981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32841 + ... + 36369.

It is an arithmetic number, because the mean of its divisors is an integer number (8833825).

Almost surely, 2122121045 is an apocalyptic number.

122121045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122121045 is a deficient number, since it is larger than the sum of its proper divisors (89890755).

122121045 is a wasteful number, since it uses less digits than its factorization.

122121045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122121045 is about 11050.8391084116. The cubic root of 122121045 is about 496.1315405651.

Adding to 122121045 its reverse (540121221), we get a palindrome (662242266).

The spelling of 122121045 in words is "one hundred twenty-two million, one hundred twenty-one thousand, forty-five".

Divisors: 1 3 5 9 15 45 769 2307 3529 3845 6921 10587 11535 17645 31761 34605 52935 158805 2713801 8141403 13569005 24424209 40707015 122121045