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121113132 = 22377319751
BaseRepresentation
bin1110011100000…
…00101000101100
322102220011222120
413032000220230
5222001110012
620003512540
73000305340
oct716005054
9272804876
10121113132
11624020a8
1234688750
131c12679a
1412129620
15a97558c
hex7380a2c

121113132 has 48 divisors (see below), whose sum is σ = 327409152. Its totient is φ = 34128000.

The previous prime is 121113119. The next prime is 121113137. The reversal of 121113132 is 231311121.

It is a happy number.

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 (121113137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3744 + ... + 16007.

It is an arithmetic number, because the mean of its divisors is an integer number (6821024).

Almost surely, 2121113132 is an apocalyptic number.

121113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121113132 is an abundant number, since it is smaller than the sum of its proper divisors (206296020).

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

121113132 is a wasteful number, since it uses less digits than its factorization.

121113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 19836 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 121113132 is about 11005.1411622023. The cubic root of 121113132 is about 494.7628452790.

Adding to 121113132 its reverse (231311121), we get a palindrome (352424253).

The spelling of 121113132 in words is "one hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 19751 39502 59253 79004 118506 138257 237012 276514 414771 553028 829542 1441823 1659084 2883646 4325469 5767292 8650938 10092761 17301876 20185522 30278283 40371044 60556566 121113132