Search a number
-
+
124121088 = 2123271337
BaseRepresentation
bin1110110010111…
…11000000000000
322122120000010100
413121133000000
5223233333323
620152202400
73035004030
oct731370000
9278500110
10124121088
1164077013
1235699400
131c93a940
14126ad8c0
15ad6b943
hex765f000

124121088 has 312 divisors, whose sum is σ = 453191648. Its totient is φ = 31850496.

The previous prime is 124121083. The next prime is 124121093. The reversal of 124121088 is 880121421.

It is an interprime number because it is at equal distance from previous prime (124121083) and next prime (124121093).

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124121083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354606 + ... + 3354642.

Almost surely, 2124121088 is an apocalyptic number.

124121088 is a gapful number since it is divisible by the number (18) 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 124121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226595824).

124121088 is an abundant number, since it is smaller than the sum of its proper divisors (329070560).

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

124121088 is a wasteful number, since it uses less digits than its factorization.

124121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 124121088 is about 11140.9644106783. The cubic root of 124121088 is about 498.8253599358.

The spelling of 124121088 in words is "one hundred twenty-four million, one hundred twenty-one thousand, eighty-eight".