Search a number
-
+
121875975 = 335213171943
BaseRepresentation
bin1110100001110…
…10111000000111
322111022221102000
413100322320013
5222200012400
620032120343
73006633354
oct720727007
9274287360
10121875975
1162883251
12349960b3
131c332a80
141228762b
15aa76600
hex743ae07

121875975 has 192 divisors, whose sum is σ = 274982400. Its totient is φ = 52254720.

The previous prime is 121875913. The next prime is 121875979. The reversal of 121875975 is 579578121.

It is not a de Polignac number, because 121875975 - 27 = 121875847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (176400) is a multiple of the sum of its prime divisors (100).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 121875975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121875979) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2834304 + ... + 2834346.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 2121875975 is an apocalyptic number.

121875975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121875975 is an abundant number, since it is smaller than the sum of its proper divisors (153106425).

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

121875975 is a wasteful number, since it uses less digits than its factorization.

121875975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 121875975 is about 11039.7452416258. The cubic root of 121875975 is about 495.7994427950.

It can be divided in two parts, 121 and 875975, that added together give a square (876096 = 9362).

The spelling of 121875975 in words is "one hundred twenty-one million, eight hundred seventy-five thousand, nine hundred seventy-five".