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121212096 = 26319149223
BaseRepresentation
bin1110011100110…
…00110011000000
322110002012201220
413032120303000
5222012241341
620005555040
73001200015
oct716306300
9273065656
10121212096
116246a495
1234715a80
131c15c845
141215370c
15a994a66
hex7398cc0

121212096 has 112 divisors (see below), whose sum is σ = 341376000. Its totient is φ = 37850112.

The previous prime is 121212089. The next prime is 121212097. The reversal of 121212096 is 690212121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (121212097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543441 + ... + 543663.

It is an arithmetic number, because the mean of its divisors is an integer number (3048000).

Almost surely, 2121212096 is an apocalyptic number.

121212096 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 121212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

121212096 is an abundant number, since it is smaller than the sum of its proper divisors (220163904).

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

121212096 is a wasteful number, since it uses less digits than its factorization.

121212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 121212096 is about 11009.6365062612. The cubic root of 121212096 is about 494.8975688470.

The spelling of 121212096 in words is "one hundred twenty-one million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 149 152 192 223 228 298 304 446 447 456 596 608 669 892 894 912 1192 1216 1338 1784 1788 1824 2384 2676 2831 3568 3576 3648 4237 4768 5352 5662 7136 7152 8474 8493 9536 10704 11324 12711 14272 14304 16948 16986 21408 22648 25422 28608 33227 33896 33972 42816 45296 50844 66454 67792 67944 90592 99681 101688 132908 135584 135888 181184 199362 203376 265816 271168 271776 398724 406752 531632 543552 631313 797448 813504 1063264 1262626 1594896 1893939 2126528 2525252 3189792 3787878 5050504 6379584 7575756 10101008 15151512 20202016 30303024 40404032 60606048 121212096