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122400149 is a prime number
BaseRepresentation
bin1110100101110…
…10110110010101
322112022120102212
413102322312111
5222313301044
620051243205
73014245514
oct722726625
9275276385
10122400149
1163101053
1234ba9505
131c487531
141238267b
15ab2ba9e
hex74bad95

122400149 has 2 divisors, whose sum is σ = 122400150. Its totient is φ = 122400148.

The previous prime is 122400077. The next prime is 122400163. The reversal of 122400149 is 941004221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112678225 + 9721924 = 10615^2 + 3118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122400149 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122400199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200074 + 61200075.

It is an arithmetic number, because the mean of its divisors is an integer number (61200075).

Almost surely, 2122400149 is an apocalyptic number.

It is an amenable number.

122400149 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400149 is an equidigital number, since it uses as much as digits as its factorization.

122400149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 122400149 is about 11063.4600826324. The cubic root of 122400149 is about 496.5092175926.

The spelling of 122400149 in words is "one hundred twenty-two million, four hundred thousand, one hundred forty-nine".