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122134048 = 25233153101
BaseRepresentation
bin1110100011110…
…01111000100000
322111211001102021
413101321320200
5222231242143
620041431224
73012056641
oct721717040
9274731367
10122134048
1162a3a133
1234a9b514
131c3c338a
14123136c8
15aac7ced
hex7479e20

122134048 has 96 divisors (see below), whose sum is σ = 266499072. Its totient is φ = 54912000.

The previous prime is 122134031. The next prime is 122134049. The reversal of 122134048 is 840431221.

It is not an unprimeable number, because it can be changed into a prime (122134049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209198 + ... + 1209298.

It is an arithmetic number, because the mean of its divisors is an integer number (2776032).

Almost surely, 2122134048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536).

122134048 is an abundant number, since it is smaller than the sum of its proper divisors (144365024).

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

122134048 is a wasteful number, since it uses less digits than its factorization.

122134048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 122134048 is about 11051.4274191165. The cubic root of 122134048 is about 496.1491486944.

Adding to 122134048 its reverse (840431221), we get a palindrome (962565269).

It can be divided in two parts, 12213 and 4048, that added together give a palindrome (16261).

The spelling of 122134048 in words is "one hundred twenty-two million, one hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 53 62 92 101 106 124 184 202 212 248 368 404 424 496 713 736 808 848 992 1219 1426 1616 1643 1696 2323 2438 2852 3131 3232 3286 4646 4876 5353 5704 6262 6572 9292 9752 10706 11408 12524 13144 18584 19504 21412 22816 25048 26288 37168 37789 39008 42824 50096 52576 72013 74336 75578 85648 100192 123119 144026 151156 165943 171296 246238 288052 302312 331886 492476 576104 604624 663772 984952 1152208 1209248 1327544 1969904 2304416 2655088 3816689 3939808 5310176 7633378 15266756 30533512 61067024 122134048