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121875390 = 232571323647
BaseRepresentation
bin1110100001110…
…10101110111110
322111022220121100
413100322232332
5222200003030
620032113530
73006631560
oct720725676
9274286540
10121875390
116288286a
12349958a6
131c332720
1412287330
15aa76360
hex743abbe

121875390 has 192 divisors, whose sum is σ = 407586816. Its totient is φ = 24558336.

The previous prime is 121875389. The next prime is 121875419. The reversal of 121875390 is 93578121.

It is a super-2 number, since 2×1218753902 = 29707221375304200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188047 + ... + 188693.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2121875390 is an apocalyptic number.

121875390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121875390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

121875390 is an abundant number, since it is smaller than the sum of its proper divisors (285711426).

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

121875390 is a wasteful number, since it uses less digits than its factorization.

121875390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 121875390 is about 11039.7187464174. The cubic root of 121875390 is about 495.7986495210.

It can be divided in two parts, 121875 and 390, that added together give a triangular number (122265 = T494).

The spelling of 121875390 in words is "one hundred twenty-one million, eight hundred seventy-five thousand, three hundred ninety".