Search a number
-
+
122425128 = 23337243269
BaseRepresentation
bin1110100110000…
…00111100101000
322112100211201000
413103000330220
5222320101003
620051555000
73014411400
oct723007450
9275324630
10122425128
11631188a1
1234bbba60
131c495a07
141238b800
15ab341a3
hex74c0f28

122425128 has 192 divisors, whose sum is σ = 406296000. Its totient is φ = 34038144.

The previous prime is 122425123. The next prime is 122425129. The reversal of 122425128 is 821524221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122425123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454978 + ... + 455246.

It is an arithmetic number, because the mean of its divisors is an integer number (2116125).

Almost surely, 2122425128 is an apocalyptic number.

122425128 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 122425128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203148000).

122425128 is an abundant number, since it is smaller than the sum of its proper divisors (283870872).

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

122425128 is a wasteful number, since it uses less digits than its factorization.

122425128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 122425128 is about 11064.5889214195. The cubic root of 122425128 is about 496.5429905911.

Adding to 122425128 its reverse (821524221), we get a palindrome (943949349).

The spelling of 122425128 in words is "one hundred twenty-two million, four hundred twenty-five thousand, one hundred twenty-eight".