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122400112543039 is a prime number
BaseRepresentation
bin11011110101001001111111…
…001110101000010100111111
3121001101100002021222000221001
4123311021333032220110333
5112020400412302334124
61112153500242151131
734532054615166112
oct3365117716502477
9531340067860831
10122400112543039
1136000661625671
1211889b660524a7
13533b386715096
1422322a8a1a579
15e23d93d5cb44
hex6f527f3a853f

122400112543039 has 2 divisors, whose sum is σ = 122400112543040. Its totient is φ = 122400112543038.

The previous prime is 122400112542991. The next prime is 122400112543057. The reversal of 122400112543039 is 930345211004221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122400112543039 is a prime.

It is a super-2 number, since 2×1224001125430392 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122400112542989 and 122400112543007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122400112543939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200056271519 + 61200056271520.

It is an arithmetic number, because the mean of its divisors is an integer number (61200056271520).

Almost surely, 2122400112543039 is an apocalyptic number.

122400112543039 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400112543039 is an equidigital number, since it uses as much as digits as its factorization.

122400112543039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 122400112543039 in words is "one hundred twenty-two trillion, four hundred billion, one hundred twelve million, five hundred forty-three thousand, thirty-nine".