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121248344 = 2372476581
BaseRepresentation
bin1110011101000…
…01101001011000
322110011001110102
413032201221120
5222014421334
620010434532
73001410500
oct716415130
9273131412
10121248344
1162494748
1234732a48
131c1731a9
1412162a00
15a9a067e
hex73a1a58

121248344 has 48 divisors (see below), whose sum is σ = 270125280. Its totient is φ = 50850240.

The previous prime is 121248299. The next prime is 121248373. The reversal of 121248344 is 443842121.

It is a congruent number.

It is an unprimeable number.

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, 15134 + ... + 21714.

It is an arithmetic number, because the mean of its divisors is an integer number (5627610).

Almost surely, 2121248344 is an apocalyptic number.

121248344 is a gapful number since it is divisible by the number (14) 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 121248344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135062640).

121248344 is an abundant number, since it is smaller than the sum of its proper divisors (148876936).

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

121248344 is a wasteful number, since it uses less digits than its factorization.

121248344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6637 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 121248344 is about 11011.2825774294. The cubic root of 121248344 is about 494.9468963200.

The spelling of 121248344 in words is "one hundred twenty-one million, two hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2632 4606 6581 9212 13162 18424 26324 46067 52648 92134 184268 309307 322469 368536 618614 644938 1237228 1289876 2165149 2474456 2579752 4330298 8660596 15156043 17321192 30312086 60624172 121248344