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122540121 = 3411831657
BaseRepresentation
bin1110100110111…
…01000001011001
322112120200110000
413103131001121
5222332240441
620054243213
73015400554
oct723350131
9275520400
10122540121
1163197230
1235056509
131c506162
14123bb69b
15ab582b6
hex74dd059

122540121 has 40 divisors (see below), whose sum is σ = 202222944. Its totient is φ = 73327680.

The previous prime is 122540111. The next prime is 122540147. The reversal of 122540121 is 121045221.

122540121 is a `hidden beast` number, since 1 + 2 + 2 + 540 + 121 = 666.

It is not a de Polignac number, because 122540121 - 29 = 122539609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122540094 and 122540103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122540111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73125 + ... + 74781.

Almost surely, 2122540121 is an apocalyptic number.

122540121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122540121 is a deficient number, since it is larger than the sum of its proper divisors (79682823).

122540121 is a wasteful number, since it uses less digits than its factorization.

122540121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122540121 is about 11069.7841442370. The cubic root of 122540121 is about 496.6984083032.

Adding to 122540121 its reverse (121045221), we get a palindrome (243585342).

The spelling of 122540121 in words is "one hundred twenty-two million, five hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 83 99 249 297 747 891 913 1657 2241 2739 4971 6723 8217 14913 18227 24651 44739 54681 73953 134217 137531 164043 412593 492129 1237779 1476387 1512841 3713337 4538523 11140011 13615569 40846707 122540121