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122400157 = 1111127287
BaseRepresentation
bin1110100101110…
…10110110011101
322112022120110011
413102322312131
5222313301112
620051243221
73014245525
oct722726635
9275276404
10122400157
1163101060
1234ba9511
131c487539
1412382685
15ab2baa7
hex74bad9d

122400157 has 4 divisors (see below), whose sum is σ = 133527456. Its totient is φ = 111272860.

The previous prime is 122400149. The next prime is 122400163. The reversal of 122400157 is 751004221.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 751004221 = 1168273111.

It is a cyclic number.

It is not a de Polignac number, because 122400157 - 23 = 122400149 is a prime.

It is a super-3 number, since 3×1224001573 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5563633 + ... + 5563654.

It is an arithmetic number, because the mean of its divisors is an integer number (33381864).

Almost surely, 2122400157 is an apocalyptic number.

It is an amenable number.

122400157 is a deficient number, since it is larger than the sum of its proper divisors (11127299).

122400157 is a wasteful number, since it uses less digits than its factorization.

122400157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127298.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 122400157 is about 11063.4604441829. The cubic root of 122400157 is about 496.5092284097.

Adding to 122400157 its reverse (751004221), we get a palindrome (873404378).

The spelling of 122400157 in words is "one hundred twenty-two million, four hundred thousand, one hundred fifty-seven".

Divisors: 1 11 11127287 122400157