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121363128 = 23321685599
BaseRepresentation
bin1110011101111…
…01101010111000
322110100212220200
413032331222320
5222032110003
620013122200
73002366235
oct716755270
9273325820
10121363128
1162562a07
1234789360
131c1b3503
141219278c
15a9c46a3
hex73bdab8

121363128 has 24 divisors (see below), whose sum is σ = 328692000. Its totient is φ = 40454352.

The previous prime is 121363097. The next prime is 121363129. The reversal of 121363128 is 821363121.

It is a happy number.

121363128 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 631 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121363129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 842728 + ... + 842871.

It is an arithmetic number, because the mean of its divisors is an integer number (13695500).

Almost surely, 2121363128 is an apocalyptic number.

121363128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121363128 is an abundant number, since it is smaller than the sum of its proper divisors (207328872).

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

121363128 is a wasteful number, since it uses less digits than its factorization.

121363128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685611 (or 1685604 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 121363128 is about 11016.4934530004. The cubic root of 121363128 is about 495.1030333426.

The spelling of 121363128 in words is "one hundred twenty-one million, three hundred sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1685599 3371198 5056797 6742396 10113594 13484792 15170391 20227188 30340782 40454376 60681564 121363128