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121397625 = 325329612
BaseRepresentation
bin1110011110001…
…10000101111001
322110102122020100
413033012011321
5222034211000
620013550013
73002601636
oct717060571
9273378210
10121397625
1162586918
12347a5309
131c1c611b
14121a118d
15a9cea00
hex73c6179

121397625 has 72 divisors (see below), whose sum is σ = 230157720. Its totient is φ = 61488000.

The previous prime is 121397587. The next prime is 121397659. The reversal of 121397625 is 526793121.

121397625 is a `hidden beast` number, since 1 + 21 + 3 + 9 + 7 + 625 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 121352256 + 45369 = 11016^2 + 213^2 .

It is not a de Polignac number, because 121397625 - 211 = 121395577 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121397625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1990095 + ... + 1990155.

It is an arithmetic number, because the mean of its divisors is an integer number (3196635).

Almost surely, 2121397625 is an apocalyptic number.

121397625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121397625 is a deficient number, since it is larger than the sum of its proper divisors (108760095).

121397625 is an equidigital number, since it uses as much as digits as its factorization.

121397625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 98 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 121397625 is about 11018.0590395950. The cubic root of 121397625 is about 495.1499392731.

The spelling of 121397625 in words is "one hundred twenty-one million, three hundred ninety-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 61 75 87 125 145 183 225 261 305 375 435 549 725 915 1125 1305 1525 1769 2175 2745 3625 3721 4575 5307 6525 7625 8845 10875 11163 13725 15921 18605 22875 26535 32625 33489 44225 55815 68625 79605 93025 107909 132675 167445 221125 279075 323727 398025 465125 539545 663375 837225 971181 1395375 1618635 1990125 2697725 4186125 4855905 8093175 13488625 24279525 40465875 121397625