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121242240 = 2732573197
BaseRepresentation
bin1110011101000…
…00001010000000
322110010202002100
413032200022000
5222014222430
620010350400
73001353630
oct716401200
9273122070
10121242240
11624900a9
123472b400
131c170492
14121606c0
15a99d960
hex73a0280

121242240 has 384 divisors, whose sum is σ = 499000320. Its totient is φ = 26542080.

The previous prime is 121242221. The next prime is 121242293. The reversal of 121242240 is 42242121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1249872 + ... + 1249968.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2121242240 is an apocalyptic number.

121242240 is a gapful number since it is divisible by the number (10) 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 121242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

121242240 is an abundant number, since it is smaller than the sum of its proper divisors (377758080).

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

121242240 is a wasteful number, since it uses less digits than its factorization.

121242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 121242240 is about 11011.0054036859. The cubic root of 121242240 is about 494.9385904841.

Adding to 121242240 its reverse (42242121), we get a palindrome (163484361).

The spelling of 121242240 in words is "one hundred twenty-one million, two hundred forty-two thousand, two hundred forty".