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1221012012 = 2231117544123
BaseRepresentation
bin100100011000111…
…0010101000101100
310011002112211121010
41020301302220230
510000034341022
6321054305220
742154300533
oct11061625054
93132484533
101221012012
11577258440
122a0ab8210
13165c7041c
14b823d31a
15722db50c
hex48c72a2c

1221012012 has 48 divisors (see below), whose sum is σ = 3290861952. Its totient is φ = 348238080.

The previous prime is 1221012007. The next prime is 1221012049. The reversal of 1221012012 is 2102101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 269818 + ... + 274305.

It is an arithmetic number, because the mean of its divisors is an integer number (68559624).

Almost surely, 21221012012 is an apocalyptic number.

1221012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221012012 is an abundant number, since it is smaller than the sum of its proper divisors (2069849940).

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

1221012012 is a wasteful number, since it uses less digits than its factorization.

1221012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544158 (or 544156 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1221012012 is about 34942.9822997408. The cubic root of 1221012012 is about 1068.8251033847.

Adding to 1221012012 its reverse (2102101221), we get a palindrome (3323113233).

The spelling of 1221012012 in words is "one billion, two hundred twenty-one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 544123 1088246 1632369 2176492 3264738 5985353 6529476 9250091 11970706 17956059 18500182 23941412 27750273 35912118 37000364 55500546 71824236 101751001 111001092 203502002 305253003 407004004 610506006 1221012012