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2122221212010 = 233544326476703
BaseRepresentation
bin11110111000011110001…
…111011101000101101010
321111212211020121201112000
4132320132033131011222
5234232302112241020
64302533541431430
7306216422444154
oct36703617350552
97455736551460
102122221212010
11749035603409
122a337370b576
13125180999073
1474a04bd5ad4
153a30ce90090
hex1ee1e3dd16a

2122221212010 has 128 divisors (see below), whose sum is σ = 5675020738560. Its totient is φ = 564350649408.

The previous prime is 2122221211987. The next prime is 2122221212039. The reversal of 2122221212010 is 102121222212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316604319 + ... + 316611021.

It is an arithmetic number, because the mean of its divisors is an integer number (44336099520).

Almost surely, 22122221212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122221212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837510369280).

2122221212010 is an abundant number, since it is smaller than the sum of its proper divisors (3552799526550).

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

2122221212010 is a wasteful number, since it uses less digits than its factorization.

2122221212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9809 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122221212010 its reverse (102121222212), we get a palindrome (2224342434222).

The spelling of 2122221212010 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 443 886 1329 2215 2647 2658 3987 4430 5294 6645 6703 7941 7974 11961 13235 13290 13406 15882 19935 20109 23823 23922 26470 33515 39705 39870 40218 47646 59805 60327 67030 71469 79410 100545 119115 119610 120654 142938 180981 201090 238230 301635 357345 361962 603270 714690 904905 1172621 1809810 2345242 2969429 3517863 5863105 5938858 7035726 8908287 10553589 11726210 14847145 17589315 17742841 17816574 21107178 26724861 29694290 31660767 35178630 35485682 44541435 52767945 53228523 53449722 63321534 80174583 88714205 89082870 105535890 106457046 133624305 158303835 159685569 160349166 177428410 266142615 267248610 316607670 319371138 400872915 479056707 532285230 798427845 801745830 958113414 1596855690 2395283535 4790567070 7860078563 15720157126 23580235689 39300392815 47160471378 70740707067 78600785630 117901178445 141481414134 212222121201 235802356890 353703535335 424444242402 707407070670 1061110606005 2122221212010