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122040221 is a prime number
BaseRepresentation
bin1110100011000…
…10111110011101
322111122021201012
413101202332131
5222220241341
620035425005
73011216252
oct721427635
9274567635
10122040221
1162985696
1234a55165
131c38c764
14122cb429
15aaaa0eb
hex7462f9d

122040221 has 2 divisors, whose sum is σ = 122040222. Its totient is φ = 122040220.

The previous prime is 122040187. The next prime is 122040251.

122040221 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118483225 + 3556996 = 10885^2 + 1886^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122040221 - 26 = 122040157 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122040196 and 122040205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122040251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61020110 + 61020111.

It is an arithmetic number, because the mean of its divisors is an integer number (61020111).

Almost surely, 2122040221 is an apocalyptic number.

It is an amenable number.

122040221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122040221 is an equidigital number, since it uses as much as digits as its factorization.

122040221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122040221 is about 11047.1815862690. The cubic root of 122040221 is about 496.0220639790.

It can be divided in two parts, 122040 and 221, that multiplied together give a triangular number (26970840 = T7344).

The spelling of 122040221 in words is "one hundred twenty-two million, forty thousand, two hundred twenty-one".