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121233331332 = 22326151547487
BaseRepresentation
bin111000011101000010…
…0011101010010000100
3102120220221220100000200
41300322010131102010
53441241213100312
6131405511010500
711521163212401
oct1607204352204
9376827810020
10121233331332
1147462067213
121b5b4969a30
13b58087bc19
145c210712a8
1532483c70dc
hex1c3a11d484

121233331332 has 36 divisors (see below), whose sum is σ = 306501302016. Its totient is φ = 40404466800.

The previous prime is 121233331319. The next prime is 121233331333. The reversal of 121233331332 is 233133332121.

121233331332 is a `hidden beast` number, since 1 + 2 + 12 + 333 + 313 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 121233331296 and 121233331305.

It is not an unprimeable number, because it can be changed into a prime (121233331333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52308 + ... + 495179.

It is an arithmetic number, because the mean of its divisors is an integer number (8513925056).

Almost surely, 2121233331332 is an apocalyptic number.

121233331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121233331332 is an abundant number, since it is smaller than the sum of its proper divisors (185267970684).

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

121233331332 is a wasteful number, since it uses less digits than its factorization.

121233331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553648 (or 553643 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 121233331332 its reverse (233133332121), we get a palindrome (354366663453).

The spelling of 121233331332 in words is "one hundred twenty-one billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6151 12302 18453 24604 36906 55359 73812 110718 221436 547487 1094974 1642461 2189948 3284922 4927383 6569844 9854766 19709532 3367592537 6735185074 10102777611 13470370148 20205555222 30308332833 40411110444 60616665666 121233331332