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1220442012 = 2233157167431
BaseRepresentation
bin100100010111110…
…0111011110011100
310011001110212201000
41020233213132130
54444413121022
6321034150300
742146404656
oct11057473634
93131425630
101220442012
115769a9169
122a0882390
13165b00b4a
14b81316d6
15722276ac
hex48be779c

1220442012 has 96 divisors (see below), whose sum is σ = 3210762240. Its totient is φ = 400870080.

The previous prime is 1220442011. The next prime is 1220442017. The reversal of 1220442012 is 2102440221.

1220442012 is a `hidden beast` number, since 1 + 220 + 442 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220442011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831437 + ... + 2831867.

It is an arithmetic number, because the mean of its divisors is an integer number (33445440).

Almost surely, 21220442012 is an apocalyptic number.

1220442012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605381120).

1220442012 is an abundant number, since it is smaller than the sum of its proper divisors (1990320228).

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

1220442012 is a wasteful number, since it uses less digits than its factorization.

1220442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1220442012 is about 34934.8252035129. The cubic root of 1220442012 is about 1068.6587590930.

Adding to 1220442012 its reverse (2102440221), we get a palindrome (3322882233).

The spelling of 1220442012 in words is "one billion, two hundred twenty million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 167 314 334 431 471 501 628 668 862 942 1002 1293 1413 1503 1724 1884 2004 2586 2826 3006 3879 4239 4509 5172 5652 6012 7758 8478 9018 11637 15516 16956 18036 23274 26219 46548 52438 67667 71977 78657 104876 135334 143954 157314 203001 215931 235971 270668 287908 314628 406002 431862 471942 609003 647793 707913 812004 863724 943884 1218006 1295586 1415826 1827009 1943379 2436012 2591172 2831652 3654018 3886758 7308036 7773516 11300389 22600778 33901167 45201556 67802334 101703501 135604668 203407002 305110503 406814004 610221006 1220442012