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122040841 = 1317975693
BaseRepresentation
bin1110100011000…
…11001000001001
322111122022120011
413101203020021
5222220301331
620035431521
73011221126
oct721431011
9274568504
10122040841
11629860aa
1234a555a1
131c38cb20
14122cb74d
15aaaa3b1
hex7463209

122040841 has 16 divisors (see below), whose sum is σ = 140619024. Its totient is φ = 104914944.

The previous prime is 122040839. The next prime is 122040907. The reversal of 122040841 is 148040221.

It can be written as a sum of positive squares in 8 ways, for example, as 9765625 + 112275216 = 3125^2 + 10596^2 .

It is a cyclic number.

It is not a de Polignac number, because 122040841 - 21 = 122040839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122043841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18591 + ... + 24283.

It is an arithmetic number, because the mean of its divisors is an integer number (8788689).

Almost surely, 2122040841 is an apocalyptic number.

It is an amenable number.

122040841 is a deficient number, since it is larger than the sum of its proper divisors (18578183).

122040841 is a wasteful number, since it uses less digits than its factorization.

122040841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 122040841 is about 11047.2096476893. The cubic root of 122040841 is about 496.0229039566.

The spelling of 122040841 in words is "one hundred twenty-two million, forty thousand, eight hundred forty-one".

Divisors: 1 13 17 97 221 1261 1649 5693 21437 74009 96781 552221 1258153 7178873 9387757 122040841