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122422128 = 24316315647
BaseRepresentation
bin1110100110000…
…00001101110000
322112100200120220
413103000031300
5222320002003
620051533040
73014366553
oct723001560
9275320526
10122422128
1163116614
1234bba180
131c49453a
141238a69a
15ab33353
hex74c0370

122422128 has 40 divisors (see below), whose sum is σ = 318217728. Its totient is φ = 40554432.

The previous prime is 122422099. The next prime is 122422141. The reversal of 122422128 is 821224221.

122422128 is a nontrivial binomial coefficient, being equal to C(15648, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 122422098 and 122422107.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 15647.

Almost surely, 2122422128 is an apocalyptic number.

122422128 is the 15647-th triangular number and also the 7824-th hexagonal number.

It is an amenable number.

122422128 is an abundant number, since it is smaller than the sum of its proper divisors (195795600).

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

122422128 is a wasteful number, since it uses less digits than its factorization.

122422128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15821 (or 15815 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 122422128 is about 11064.4533529678. The cubic root of 122422128 is about 496.5389346669.

Adding to 122422128 its reverse (821224221), we get a palindrome (943646349).

The spelling of 122422128 in words is "one hundred twenty-two million, four hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 15647 31294 46941 62588 93882 125176 187764 250352 375528 751056 2550461 5100922 7651383 10201844 15302766 20403688 30605532 40807376 61211064 122422128