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122128848 = 24326431319
BaseRepresentation
bin1110100011110…
…00100111010000
322111210210021200
413101320213100
5222231110343
620041351200
73012035532
oct721704720
9274723250
10122128848
1162a36236
1234a98500
131c3c0bba
1412311852
15aac64d3
hex74789d0

122128848 has 60 divisors (see below), whose sum is σ = 342582240. Its totient is φ = 40615488.

The previous prime is 122128847. The next prime is 122128859. The reversal of 122128848 is 848821221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122128841) 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 11 ways as a sum of consecutive naturals, for example, 91933 + ... + 93251.

It is an arithmetic number, because the mean of its divisors is an integer number (5709704).

Almost surely, 2122128848 is an apocalyptic number.

122128848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122128848 is an abundant number, since it is smaller than the sum of its proper divisors (220453392).

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

122128848 is a wasteful number, since it uses less digits than its factorization.

122128848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 122128848 is about 11051.1921528856. The cubic root of 122128848 is about 496.1421072176.

The spelling of 122128848 in words is "one hundred twenty-two million, one hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 643 1286 1319 1929 2572 2638 3858 3957 5144 5276 5787 7716 7914 10288 10552 11574 11871 15432 15828 21104 23148 23742 30864 31656 46296 47484 63312 92592 94968 189936 848117 1696234 2544351 3392468 5088702 6784936 7633053 10177404 13569872 15266106 20354808 30532212 40709616 61064424 122128848