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121364232 = 233114310691
BaseRepresentation
bin1110011101111…
…01111100001000
322110100221102120
413032331330020
5222032123412
620013131240
73002402403
oct716757410
9273327376
10121364232
1162563820
1234789b20
131c1b3b72
1412192d3a
15a9c4b8c
hex73bdf08

121364232 has 64 divisors (see below), whose sum is σ = 338722560. Its totient is φ = 35918400.

The previous prime is 121364213. The next prime is 121364237. The reversal of 121364232 is 232463121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (121364237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2121364232 is an apocalyptic number.

121364232 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 121364232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169361280).

121364232 is an abundant number, since it is smaller than the sum of its proper divisors (217358328).

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

121364232 is a wasteful number, since it uses less digits than its factorization.

121364232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754 (or 10750 counting only the distinct ones).

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

The square root of 121364232 is about 11016.5435595744. The cubic root of 121364232 is about 495.1045346006.

The spelling of 121364232 in words is "one hundred twenty-one million, three hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 10691 11352 21382 32073 42764 64146 85528 117601 128292 235202 256584 352803 459713 470404 705606 919426 940808 1379139 1411212 1838852 2758278 2822424 3677704 5056843 5516556 10113686 11033112 15170529 20227372 30341058 40454744 60682116 121364232