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121229376 = 263718893
BaseRepresentation
bin1110011100111…
…01000001000000
322110010002102220
413032131001000
5222013320001
620010211040
73001301262
oct716350100
9273102386
10121229376
1162481474
1234723a80
131c167678
1412159b32
15a999c36
hex739d040

121229376 has 56 divisors (see below), whose sum is σ = 325306944. Its totient is φ = 39836160.

The previous prime is 121229369. The next prime is 121229393. The reversal of 121229376 is 673922121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9186 + ... + 18078.

Almost surely, 2121229376 is an apocalyptic number.

121229376 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 121229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162653472).

121229376 is an abundant number, since it is smaller than the sum of its proper divisors (204077568).

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

121229376 is an equidigital number, since it uses as much as digits as its factorization.

121229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8969 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 121229376 is about 11010.4212453475. The cubic root of 121229376 is about 494.9210852669.

The spelling of 121229376 in words is "one hundred twenty-one million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 8893 13632 17786 26679 35572 53358 71144 106716 142288 213432 284576 426864 569152 631403 853728 1262806 1707456 1894209 2525612 3788418 5051224 7576836 10102448 15153672 20204896 30307344 40409792 60614688 121229376