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121392 = 2433281
BaseRepresentation
bin11101101000110000
320011112000
4131220300
512341032
62334000
71013625
oct355060
9204460
10121392
1183227
125a300
134333b
143234c
1525e7c
hex1da30

121392 has 40 divisors (see below), whose sum is σ = 349680. Its totient is φ = 40320.

The previous prime is 121379. The next prime is 121403. The reversal of 121392 is 293121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121392.

It is an unprimeable number.

121392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (8742).

2121392 is an apocalyptic number.

121392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174840).

121392 is an abundant number, since it is smaller than the sum of its proper divisors (228288).

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

121392 is a wasteful number, since it uses less digits than its factorization.

121392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 121392 is about 348.4135473830. The cubic root of 121392 is about 49.5142291508.

The spelling of 121392 in words is "one hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 3372 4496 5058 6744 7587 10116 13488 15174 20232 30348 40464 60696 121392