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1000200222012 = 2231929261757803
BaseRepresentation
bin11101000111000001001…
…01000011010100111100
310112121200200011202110010
432203200211003110330
5112341402224101022
62043252521543220
7132155615416455
oct16434045032474
93477620152403
101000200222012
11356200a4a732
12141a19044b10
137341a8ccbc4
14365a4c8612c
151b03e11650c
hexe8e094353c

1000200222012 has 96 divisors (see below), whose sum is σ = 2542358649600. Its totient is φ = 304839424512.

The previous prime is 1000200221971. The next prime is 1000200222013. The reversal of 1000200222012 is 2102220020001.

It is a super-2 number, since 2×10002002220122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200222013) 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, 17274703 + ... + 17332505.

It is an arithmetic number, because the mean of its divisors is an integer number (26482902600).

Almost surely, 21000200222012 is an apocalyptic number.

1000200222012 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 1000200222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271179324800).

1000200222012 is an abundant number, since it is smaller than the sum of its proper divisors (1542158427588).

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

1000200222012 is a wasteful number, since it uses less digits than its factorization.

1000200222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60475 (or 60473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000200222012 its reverse (2102220020001), we get a palindrome (3102420242013).

The spelling of 1000200222012 in words is "one trillion, two hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 2617 3306 5234 6612 7851 10468 15702 31404 49723 57803 75893 99446 115606 149169 151786 173409 198892 227679 231212 298338 303572 346818 455358 596676 693636 910716 1098257 1441967 1676287 2196514 2883934 3294771 3352574 4325901 4393028 5028861 5767868 6589542 6705148 8651802 10057722 13179084 17303604 20115444 31849453 63698906 95548359 127397812 151270451 191096718 302540902 382193436 453811353 605081804 907622706 1815245412 2874138569 4386843079 5748277138 8622415707 8773686158 11496554276 13160529237 17244831414 17547372316 26321058474 34489662828 52642116948 83350018501 166700037002 250050055503 333400074004 500100111006 1000200222012