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1000021222112 = 251110370938903
BaseRepresentation
bin11101000110101011110…
…10001110001011100000
310112121020012100121202012
432203111322032023200
5112341020413101422
62043223045212052
7132151313065043
oct16432572161340
93477205317665
101000021222112
11356119a00430
12141989101028
13733bc7b92c3
14365891acc5a
151b02d5594e2
hexe8d5e8e2e0

1000021222112 has 96 divisors (see below), whose sum is σ = 2171739548160. Its totient is φ = 449495493120.

The previous prime is 1000021222111. The next prime is 1000021222117. The reversal of 1000021222112 is 2112221200001.

1000021222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000021222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25686053 + ... + 25724955.

It is an arithmetic number, because the mean of its divisors is an integer number (22622286960).

Almost surely, 21000021222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085869774080).

1000021222112 is an abundant number, since it is smaller than the sum of its proper divisors (1171718326048).

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

1000021222112 is a wasteful number, since it uses less digits than its factorization.

1000021222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39736 (or 39728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000021222112 its reverse (2112221200001), we get a palindrome (3112242422113).

The spelling of 1000021222112 in words is "one trillion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 709 824 1133 1418 1648 2266 2836 3296 4532 5672 7799 9064 11344 15598 18128 22688 31196 36256 38903 62392 73027 77806 124784 146054 155612 249568 292108 311224 427933 584216 622448 803297 855866 1168432 1244896 1606594 1711732 2336864 3213188 3423464 4007009 6426376 6846928 8014018 12852752 13693856 16028036 25705504 27582227 32056072 44077099 55164454 64112144 88154198 110328908 128224288 176308396 220657816 303404497 352616792 441315632 606808994 705233584 882631264 1213617988 1410467168 2427235976 2840969381 4854471952 5681938762 9708943904 11363877524 22727755048 31250663191 45455510096 62501326382 90911020192 125002652764 250005305528 500010611056 1000021222112