Search a number
-
+
122001012 = 22337161377
BaseRepresentation
bin1110100010110…
…01011001110100
322111120021221000
413101121121310
5222213013022
620034523300
73010664040
oct721313164
9274507830
10122001012
1162959191
1234a36530
131c377963
14122bb020
15aa9d6ac
hex7459674

122001012 has 48 divisors (see below), whose sum is σ = 361486720. Its totient is φ = 34857216.

The previous prime is 122001001. The next prime is 122001013. The reversal of 122001012 is 210100221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122000985 and 122001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79933 + ... + 81444.

Almost surely, 2122001012 is an apocalyptic number.

122001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001012 is an abundant number, since it is smaller than the sum of its proper divisors (239485708).

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

122001012 is a wasteful number, since it uses less digits than its factorization.

122001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161397 (or 161389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122001012 is about 11045.4068281798. The cubic root of 122001012 is about 495.9689377443.

Adding to 122001012 its reverse (210100221), we get a palindrome (332101233).

The spelling of 122001012 in words is "one hundred twenty-two million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 161377 322754 484131 645508 968262 1129639 1452393 1936524 2259278 2904786 3388917 4357179 4518556 5809572 6777834 8714358 10166751 13555668 17428716 20333502 30500253 40667004 61000506 122001012