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122397821316 = 2232583092
BaseRepresentation
bin111000111111101111…
…0101000100110000100
3102200221010002112222100
41301333132220212010
54001132320240231
6132121230032100
711562063213051
oct1617736504604
9380833075870
10122397821316
11479aa419831
121b87a948630
13b707bbc454
145cd199a028
1532b574b1e6
hex1c7f7a8984

122397821316 has 27 divisors (see below), whose sum is σ = 309399798981. Its totient is φ = 40798574064.

The previous prime is 122397821311. The next prime is 122397821333. The reversal of 122397821316 is 613128793221.

It is a happy number.

The square root of 122397821316 is 349854.

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

122397821316 is a `hidden beast` number, since 1 + 223 + 97 + 8 + 21 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58348334916 + 64049486400 = 241554^2 + 253080^2 .

It is not an unprimeable number, because it can be changed into a prime (122397821311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2069970 + ... + 2128278.

Almost surely, 2122397821316 is an apocalyptic number.

122397821316 is the 349854-th square number.

It is an amenable number.

122397821316 is an abundant number, since it is smaller than the sum of its proper divisors (187001977665).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122397821316 is an frugal number, since it uses more digits than its factorization.

122397821316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116628 (or 58314 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 122397821316 in words is "one hundred twenty-two billion, three hundred ninety-seven million, eight hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 58309 116618 174927 233236 349854 524781 699708 1049562 2099124 3399939481 6799878962 10199818443 13599757924 20399636886 30599455329 40799273772 61198910658 122397821316