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122000268 = 22313782053
BaseRepresentation
bin1110100010110…
…01001110001100
322111120020220110
413101121032030
5222213002033
620034520020
73010661625
oct721311614
9274506813
10122000268
1162958675
1234a36010
131c377510
14122baa4c
15aa9d363
hex745938c

122000268 has 24 divisors (see below), whose sum is σ = 306565168. Its totient is φ = 37538496.

The previous prime is 122000251. The next prime is 122000293. The reversal of 122000268 is 862000221.

122000268 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

122000268 is strictly pandigital in base 9.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 390871 + ... + 391182.

Almost surely, 2122000268 is an apocalyptic number.

It is an amenable number.

122000268 is an abundant number, since it is smaller than the sum of its proper divisors (184564900).

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

122000268 is a wasteful number, since it uses less digits than its factorization.

122000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782073 (or 782071 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122000268 is about 11045.3731489706. The cubic root of 122000268 is about 495.9679295515.

Adding to 122000268 its reverse (862000221), we get a palindrome (984000489).

The spelling of 122000268 in words is "one hundred twenty-two million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 782053 1564106 2346159 3128212 4692318 9384636 10166689 20333378 30500067 40666756 61000134 122000268