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122121332232 = 2335088388843
BaseRepresentation
bin111000110111011111…
…1111010011000001000
3102200012211211110020220
41301232333322120020
54000101030112412
6132033551550040
711552165124324
oct1615677723010
9380184743226
10122121332232
1147878343459
121b80222b320
13b692833b43
145ca6d86984
15329b33368c
hex1c6effa608

122121332232 has 16 divisors (see below), whose sum is σ = 305303330640. Its totient is φ = 40707110736.

The previous prime is 122121332231. The next prime is 122121332237. The reversal of 122121332232 is 232233121221.

122121332232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221213322322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5088388843 = 122121332232 / (1 + 2 + 2 + 1 + 2 + 1 + 3 + 3 + 2 + 2 + 3 + 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122121332231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2544194398 + ... + 2544194445.

It is an arithmetic number, because the mean of its divisors is an integer number (19081458165).

Almost surely, 2122121332232 is an apocalyptic number.

122121332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122121332232 is an abundant number, since it is smaller than the sum of its proper divisors (183181998408).

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

122121332232 is a wasteful number, since it uses less digits than its factorization.

122121332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088388852 (or 5088388848 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 122121332232 its reverse (232233121221), we get a palindrome (354354453453).

The spelling of 122121332232 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 5088388843 10176777686 15265166529 20353555372 30530333058 40707110744 61060666116 122121332232