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121392720 = 24325168601
BaseRepresentation
bin1110011110001…
…00111001010000
322110102101111200
413033010321100
5222034031340
620013511200
73002551431
oct717047120
9273371450
10121392720
1162583169
12347a2500
131c1c3b17
141219d488
15a9cd330
hex73c4e50

121392720 has 60 divisors (see below), whose sum is σ = 407679636. Its totient is φ = 32371200.

The previous prime is 121392703. The next prime is 121392721. The reversal of 121392720 is 27293121.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 71774784 = 7044^2 + 8472^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121392721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83581 + ... + 85020.

Almost surely, 2121392720 is an apocalyptic number.

121392720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121392720 is an abundant number, since it is smaller than the sum of its proper divisors (286286916).

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

121392720 is a wasteful number, since it uses less digits than its factorization.

121392720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168620 (or 168611 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 121392720 is about 11017.8364482325. The cubic root of 121392720 is about 495.1432704354.

The spelling of 121392720 in words is "one hundred twenty-one million, three hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 168601 337202 505803 674404 843005 1011606 1348808 1517409 1686010 2023212 2529015 2697616 3034818 3372020 4046424 5058030 6069636 6744040 7587045 8092848 10116060 12139272 13488080 15174090 20232120 24278544 30348180 40464240 60696360 121392720