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1121321133012 = 2233114972727827
BaseRepresentation
bin10000010100010011111…
…100101010001111010100
310222012022210112112202210
4100110103330222033110
5121332431202224022
62215043335233420
7144004245240123
oct20242374521724
93865283475683
101121321133012
113a2605601883
121613a0218870
13819810a9c02
143c3b5011aba
151e27c6d3a0c
hex10513f2a3d4

1121321133012 has 96 divisors (see below), whose sum is σ = 2722780569600. Its totient is φ = 358781765760.

The previous prime is 1121321132983. The next prime is 1121321133017. The reversal of 1121321133012 is 2103311231211.

It is a super-2 number, since 2×11213211330122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1121321133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121321133017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40282243 + ... + 40310069.

It is an arithmetic number, because the mean of its divisors is an integer number (28362297600).

Almost surely, 21121321133012 is an apocalyptic number.

1121321133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121321133012 is an abundant number, since it is smaller than the sum of its proper divisors (1601459436588).

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

1121321133012 is a wasteful number, since it uses less digits than its factorization.

1121321133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28741 (or 28739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1121321133012 its reverse (2103311231211), we get a palindrome (3224632364223).

The spelling of 1121321133012 in words is "one trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 149 186 298 372 447 596 727 894 1454 1788 2181 2908 4362 4619 8724 9238 13857 18476 22537 27714 27827 45074 55428 55654 67611 83481 90148 108323 111308 135222 166962 216646 270444 324969 333924 433292 649938 862637 1299876 1725274 2587911 3358013 3450548 4146223 5175822 6716026 8292446 10074039 10351644 12438669 13432052 16584892 20148078 20230229 24877338 40296156 40460458 49754676 60690687 80920916 121381374 128532913 242762748 257065826 385598739 514131652 627137099 771197478 1254274198 1542394956 1881411297 2508548396 3014304121 3762822594 6028608242 7525645188 9042912363 12057216484 18085824726 36171649452 93443427751 186886855502 280330283253 373773711004 560660566506 1121321133012