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122966643556 = 221753332
BaseRepresentation
bin111001010000101100…
…0100001001101100100
3102202101202102201101201
41302201120201031210
54003313430043211
6132253505532244
711612141136661
oct1624130411544
9382352381351
10122966643556
1148171512359
121b9b9344084
13b7989bcc63
145d47348a68
1532ea65b0c1
hex1ca1621364

122966643556 has 9 divisors (see below), whose sum is σ = 215192853561. Its totient is φ = 61482971112.

The previous prime is 122966643539. The next prime is 122966643557. The reversal of 122966643556 is 655346669221.

The square root of 122966643556 is 350666.

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

122966643556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 118949112100 + 4017531456 = 344890^2 + 63384^2 .

It is a super-3 number, since 3×1229666435563 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122966643497 and 122966643506.

It is not an unprimeable number, because it can be changed into a prime (122966643557) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 613666 + ... + 788998.

Almost surely, 2122966643556 is an apocalyptic number.

122966643556 is the 350666-th square number.

It is an amenable number.

122966643556 is a deficient number, since it is larger than the sum of its proper divisors (92226210005).

122966643556 is an frugal number, since it uses more digits than its factorization.

122966643556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350670 (or 175335 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 55.

The spelling of 122966643556 in words is "one hundred twenty-two billion, nine hundred sixty-six million, six hundred forty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 175333 350666 701332 30741660889 61483321778 122966643556