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1221210312 = 233753137153
BaseRepresentation
bin100100011001010…
…0011000011001000
310011002220220121120
41020302203003020
510000112212222
6321102435240
742156054630
oct11062430310
93132826546
101221210312
11577383423
122a0b92b20
1316600c76a
14b82916c0
157232a15c
hex48ca30c8

1221210312 has 64 divisors (see below), whose sum is σ = 3555031680. Its totient is φ = 342331392.

The previous prime is 1221210307. The next prime is 1221210337. The reversal of 1221210312 is 2130121221.

It is a super-2 number, since 2×12212103122 = 2982709252270274688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221210291 and 1221210300.

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 15 ways as a sum of consecutive naturals, for example, 59673 + ... + 77480.

It is an arithmetic number, because the mean of its divisors is an integer number (55547370).

Almost surely, 21221210312 is an apocalyptic number.

1221210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221210312 is an abundant number, since it is smaller than the sum of its proper divisors (2333821368).

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

1221210312 is a wasteful number, since it uses less digits than its factorization.

1221210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137222 (or 137218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1221210312 is about 34945.8196641601. The cubic root of 1221210312 is about 1068.8829615502.

Adding to 1221210312 its reverse (2130121221), we get a palindrome (3351331533).

The spelling of 1221210312 in words is "one billion, two hundred twenty-one million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 137153 274306 411459 548612 822918 960071 1097224 1645836 1920142 2880213 3291672 3840284 5760426 7269109 7680568 11520852 14538218 21807327 23041704 29076436 43614654 50883763 58152872 87229308 101767526 152651289 174458616 203535052 305302578 407070104 610605156 1221210312