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122123200323330 = 23251356924448037
BaseRepresentation
bin11011110001001000000101…
…111110010101111100000010
3121000101212022210202202200200
4123301020011332111330002
5112001331303240321310
61111422342420230030
734503052515152313
oct3361100576257402
9530355283682620
10122123200323330
1135a04181923428
121184436483b316
13531b225bcb13b
142222b19cd660a
15e1ba8854c9c0
hex6f1205f95f02

122123200323330 has 24 divisors (see below), whose sum is σ = 317520320840892. Its totient is φ = 32566186752864.

The previous prime is 122123200323329. The next prime is 122123200323389. The reversal of 122123200323330 is 33323002321221.

122123200323330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 3 + 2 + 0 + 0 + 323 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121447915756281 + 675284567049 = 11020341^2 + 821757^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122123200323294 and 122123200323303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678462223929 + ... + 678462224108.

Almost surely, 2122123200323330 is an apocalyptic number.

122123200323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122123200323330 is an abundant number, since it is smaller than the sum of its proper divisors (195397120517562).

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

122123200323330 is a wasteful number, since it uses less digits than its factorization.

122123200323330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356924448050 (or 1356924448047 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 122123200323330 its reverse (33323002321221), we get a palindrome (155446202644551).

The spelling of 122123200323330 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1356924448037 2713848896074 4070773344111 6784622240185 8141546688222 12212320032333 13569244480370 20353866720555 24424640064666 40707733441110 61061600161665 122123200323330