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122334003330 = 2357112311531997
BaseRepresentation
bin111000111101110101…
…1001100000010000010
3102200202200000021011020
41301323223030002002
54001020001101310
6132111030130310
711560356604560
oct1617353140202
9380680007136
10122334003330
11479773a03a0
121b8614b0996
13b6c7906726
145cc7306a30
1532aed42170
hex1c7bacc082

122334003330 has 256 divisors, whose sum is σ = 382486634496. Its totient is φ = 24281579520.

The previous prime is 122334003329. The next prime is 122334003371. The reversal of 122334003330 is 33300433221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122334003330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61257892 + ... + 61259888.

It is an arithmetic number, because the mean of its divisors is an integer number (1494088416).

Almost surely, 2122334003330 is an apocalyptic number.

122334003330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122334003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191243317248).

122334003330 is an abundant number, since it is smaller than the sum of its proper divisors (260152631166).

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

122334003330 is a wasteful number, since it uses less digits than its factorization.

122334003330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 122334003330 its reverse (33300433221), we get a palindrome (155634436551).

The spelling of 122334003330 in words is "one hundred twenty-two billion, three hundred thirty-four million, three thousand, three hundred thirty".