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122735626221 = 3132242082103
BaseRepresentation
bin111001001001110011…
…1010000011111101101
3102201210122201211012010
41302103213100133231
54002330310014341
6132214534231433
711603334416025
oct1622347203755
9381718654163
10122735626221
114806307463a
121b953ab5579
13b75cb95900
145d247b0a85
1532d5226716
hex1c939d07ed

122735626221 has 12 divisors (see below), whose sum is σ = 177204100128. Its totient is φ = 75529615824.

The previous prime is 122735626213. The next prime is 122735626229. The reversal of 122735626221 is 122626537221.

It is an interprime number because it is at equal distance from previous prime (122735626213) and next prime (122735626229).

It is not a de Polignac number, because 122735626221 - 23 = 122735626213 is a prime.

It is a super-2 number, since 2×1227356262212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 122735626221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122735626229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121040545 + ... + 121041558.

It is an arithmetic number, because the mean of its divisors is an integer number (14767008344).

Almost surely, 2122735626221 is an apocalyptic number.

It is an amenable number.

122735626221 is a deficient number, since it is larger than the sum of its proper divisors (54468473907).

122735626221 is a wasteful number, since it uses less digits than its factorization.

122735626221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242082132 (or 242082119 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 122735626221 in words is "one hundred twenty-two billion, seven hundred thirty-five million, six hundred twenty-six thousand, two hundred twenty-one".

Divisors: 1 3 13 39 169 507 242082103 726246309 3147067339 9441202017 40911875407 122735626221