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1022120001012 = 2231123617545651
BaseRepresentation
bin11101101111110110001…
…10010111110111110100
310121201021022002220101210
432313323012113313310
5113221300210013022
62101315550521420
7133563041441625
oct16677306276764
93551238086353
101022120001012
1136452a104070
12146115b06270
1375501c45036
1437684103a4c
151b8c369aa0c
hexedfb197df4

1022120001012 has 96 divisors (see below), whose sum is σ = 2719285115904. Its totient is φ = 295785952000.

The previous prime is 1022120001011. The next prime is 1022120001017. The reversal of 1022120001012 is 2101000212201.

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 (1022120001011) 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, 1600387 + ... + 2146037.

It is an arithmetic number, because the mean of its divisors is an integer number (28325886624).

Almost surely, 21022120001012 is an apocalyptic number.

1022120001012 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 1022120001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359642557952).

1022120001012 is an abundant number, since it is smaller than the sum of its proper divisors (1697165114892).

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

1022120001012 is a wasteful number, since it uses less digits than its factorization.

1022120001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546309 (or 546307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022120001012 its reverse (2101000212201), we get a palindrome (3123120213213).

The spelling of 1022120001012 in words is "one trillion, twenty-two billion, one hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 617 759 1012 1234 1518 1851 2468 3036 3702 6787 7404 13574 14191 20361 27148 28382 40722 42573 56764 81444 85146 156101 170292 312202 468303 545651 624404 936606 1091302 1636953 1873212 2182604 3273906 6002161 6547812 12004322 12549973 18006483 24008644 25099946 36012966 37649919 50199892 72025932 75299838 138049703 150599676 276099406 336666667 414149109 552198812 673333334 828298218 1010000001 1346666668 1656596436 2020000002 3703333337 4040000004 7406666674 7743333341 11110000011 14813333348 15486666682 22220000022 23230000023 30973333364 44440000044 46460000046 85176666751 92920000092 170353333502 255530000253 340706667004 511060000506 1022120001012