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1330212451122 = 2321945714235981
BaseRepresentation
bin10011010110110110110…
…101110011001100110010
311201011111210101222202100
4103112312311303030302
5133243233341413442
62455031405201230
7165050622163302
oct23266665631462
94634453358670
101330212451122
1147315a282965
12195979560216
13985914b5c59
144854dcd7602
152490651784c
hex135b6d73332

1330212451122 has 96 divisors (see below), whose sum is σ = 3043101784320. Its totient is φ = 418783322880.

The previous prime is 1330212451109. The next prime is 1330212451129. The reversal of 1330212451122 is 2211542120331.

It is a happy number.

1330212451122 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 124 + 511 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (1330212451129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222403372 + ... + 222409352.

It is an arithmetic number, because the mean of its divisors is an integer number (31698976920).

Almost surely, 21330212451122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330212451122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521550892160).

1330212451122 is an abundant number, since it is smaller than the sum of its proper divisors (1712889333198).

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

1330212451122 is a wasteful number, since it uses less digits than its factorization.

1330212451122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1330212451122 its reverse (2211542120331), we get a palindrome (3541754571453).

The spelling of 1330212451122 in words is "one trillion, three hundred thirty billion, two hundred twelve million, four hundred fifty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 457 914 1371 1423 2742 2846 4113 4269 5981 8226 8538 8683 11962 12807 17366 17943 25614 26049 27037 35886 52098 53829 54074 78147 81111 107658 113639 156294 162222 227278 243333 340917 486666 650311 681834 1022751 1300622 1950933 2045502 2733317 3901866 5466634 5852799 8199951 8510963 11705598 12355909 16399902 17021926 24599853 24711818 25532889 37067727 49199706 51065778 51933023 74135454 76598667 103866046 111203181 153197334 155799069 161708297 222406362 311598138 323416594 467397207 485124891 934794414 970249782 1455374673 2910749346 3889510091 7779020182 11668530273 23337060546 35005590819 70011181638 73900691729 147801383458 221702075187 443404150374 665106225561 1330212451122