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121320966 = 231319711153
BaseRepresentation
bin1110011101100…
…11011000000110
322110021202002010
413032303120012
5222024232331
620012155050
73002132304
oct716633006
9273252063
10121320966
1162534268
1234768a86
131c19a270
1412181274
15a9b6e46
hex73b3606

121320966 has 64 divisors (see below), whose sum is σ = 279175680. Its totient is φ = 34836480.

The previous prime is 121320937. The next prime is 121320967. The reversal of 121320966 is 669023121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121320967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104646 + ... + 105798.

It is an arithmetic number, because the mean of its divisors is an integer number (4362120).

Almost surely, 2121320966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121320966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139587840).

121320966 is an abundant number, since it is smaller than the sum of its proper divisors (157854714).

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

121320966 is a wasteful number, since it uses less digits than its factorization.

121320966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 121320966 is about 11014.5797014684. The cubic root of 121320966 is about 495.0456931598.

The spelling of 121320966 in words is "one hundred twenty-one million, three hundred twenty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 426 494 741 923 1153 1349 1482 1846 2306 2698 2769 3459 4047 5538 6918 8094 14989 17537 21907 29978 35074 43814 44967 52611 65721 81863 89934 105222 131442 163726 245589 284791 491178 569582 854373 1064219 1555397 1708746 2128438 3110794 3192657 4666191 6385314 9332382 20220161 40440322 60660483 121320966