Search a number
-
+
121254336 = 26327172961
BaseRepresentation
bin1110011101000…
…11000111000000
322110011100200100
413032203013000
5222020114321
620010522400
73001434120
oct716430700
9273140610
10121254336
11624991a5
1234736400
131c175b38
1412164c80
15a9a2326
hex73a31c0

121254336 has 336 divisors, whose sum is σ = 442203840. Its totient is φ = 30965760.

The previous prime is 121254293. The next prime is 121254349. The reversal of 121254336 is 633452121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1212543362 = 29405227997601792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987746 + ... + 1987806.

Almost surely, 2121254336 is an apocalyptic number.

121254336 is a gapful number since it is divisible by the number (16) 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 121254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

121254336 is an abundant number, since it is smaller than the sum of its proper divisors (320949504).

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

121254336 is a wasteful number, since it uses less digits than its factorization.

121254336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 121254336 is about 11011.5546586302. The cubic root of 121254336 is about 494.9550494842.

It can be divided in two parts, 12125 and 4336, that added together give a palindrome (16461).

The spelling of 121254336 in words is "one hundred twenty-one million, two hundred fifty-four thousand, three hundred thirty-six".