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122016432 = 2432542009
BaseRepresentation
bin1110100010111…
…01001010110000
322111121002002010
413101131022300
5222214011212
620035122520
73011060016
oct721351260
9274532063
10122016432
116296982a
1234a43440
131c381995
14122c28b6
15aaa303c
hex745d2b0

122016432 has 20 divisors (see below), whose sum is σ = 315209240. Its totient is φ = 40672128.

The previous prime is 122016373. The next prime is 122016437. The reversal of 122016432 is 234610221.

It is a junction number, because it is equal to n+sod(n) for n = 122016399 and 122016408.

It is not an unprimeable number, because it can be changed into a prime (122016437) 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 3 ways as a sum of consecutive naturals, for example, 1270957 + ... + 1271052.

It is an arithmetic number, because the mean of its divisors is an integer number (15760462).

Almost surely, 2122016432 is an apocalyptic number.

122016432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122016432 is an abundant number, since it is smaller than the sum of its proper divisors (193192808).

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

122016432 is a wasteful number, since it uses less digits than its factorization.

122016432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542020 (or 2542014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 122016432 is about 11046.1048338317. The cubic root of 122016432 is about 495.9898324312.

Adding to 122016432 its reverse (234610221), we get a palindrome (356626653).

The spelling of 122016432 in words is "one hundred twenty-two million, sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2542009 5084018 7626027 10168036 15252054 20336072 30504108 40672144 61008216 122016432