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122744241 = 3412312
BaseRepresentation
bin1110101000011…
…10110110110001
322112222001110000
413110032312301
5222410303431
620102500213
73020210634
oct724166661
9275861400
10122744241
1163316624
1235134669
131c578039
1412431c1b
15ab989e6
hex750edb1

122744241 has 15 divisors (see below), whose sum is σ = 183507753. Its totient is φ = 81763020.

The previous prime is 122744239. The next prime is 122744257. The reversal of 122744241 is 142447221.

The square root of 122744241 is 11079.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 122744241 - 21 = 122744239 is a prime.

It is a super-2 number, since 2×1227442412 = 30132297397332162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (122744341) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 99096 + ... + 100326.

Almost surely, 2122744241 is an apocalyptic number.

122744241 is the 11079-th square number.

122744241 is the 5540-th centered octagonal number.

It is an amenable number.

122744241 is a deficient number, since it is larger than the sum of its proper divisors (60763512).

122744241 is an frugal number, since it uses more digits than its factorization.

122744241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1234 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The cubic root of 122744241 is about 496.9740454742.

The spelling of 122744241 in words is "one hundred twenty-two million, seven hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 1231 3693 11079 33237 99711 1515361 4546083 13638249 40914747 122744241