Search a number
-
+
122041152 = 2632211877
BaseRepresentation
bin1110100011000…
…11001101000000
322111122022222200
413101203031000
5222220304102
620035433200
73011222052
oct721431500
9274568880
10122041152
1162986362
1234a55800
131c38cccc
14122cb8d2
15aaaa51c
hex7463340

122041152 has 42 divisors (see below), whose sum is σ = 349810578. Its totient is φ = 40680192.

The previous prime is 122041121. The next prime is 122041159. The reversal of 122041152 is 251140221.

It can be written as a sum of positive squares in only one way, i.e., 92621376 + 29419776 = 9624^2 + 5424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122041159) 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 5 ways as a sum of consecutive naturals, for example, 105363 + ... + 106514.

Almost surely, 2122041152 is an apocalyptic number.

122041152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122041152 is an abundant number, since it is smaller than the sum of its proper divisors (227769426).

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

122041152 is a wasteful number, since it uses less digits than its factorization.

122041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211895 (or 211882 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122041152 is about 11047.2237236330. The cubic root of 122041152 is about 496.0233252992.

Adding to 122041152 its reverse (251140221), we get a palindrome (373181373).

The spelling of 122041152 in words is "one hundred twenty-two million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 211877 423754 635631 847508 1271262 1695016 1906893 2542524 3390032 3813786 5085048 6780064 7627572 10170096 13560128 15255144 20340192 30510288 40680384 61020576 122041152