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121271008 = 2531432843
BaseRepresentation
bin1110011101001…
…11001011100000
322110012012112211
413032213023200
5222021133013
620011131504
73001533535
oct716471340
9273165484
10121271008
11624aa781
1234743b94
131c1805c1
141216ad8c
15a9a723d
hex73a72e0

121271008 has 48 divisors (see below), whose sum is σ = 252274176. Its totient is φ = 57294720.

The previous prime is 121270999. The next prime is 121271009. The reversal of 121271008 is 800172121.

It is a self number, because there is not a number n which added to its sum of digits gives 121271008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121271009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41235 + ... + 44077.

It is an arithmetic number, because the mean of its divisors is an integer number (5255712).

Almost surely, 2121271008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121271008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126137088).

121271008 is an abundant number, since it is smaller than the sum of its proper divisors (131003168).

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

121271008 is a wasteful number, since it uses less digits than its factorization.

121271008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 121271008 is about 11012.3116555971. The cubic root of 121271008 is about 494.9777332432.

The spelling of 121271008 in words is "one hundred twenty-one million, two hundred seventy-one thousand, eight".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 344 496 688 992 1333 1376 2666 2843 5332 5686 10664 11372 21328 22744 42656 45488 88133 90976 122249 176266 244498 352532 488996 705064 977992 1410128 1955984 2820256 3789719 3911968 7579438 15158876 30317752 60635504 121271008