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2121221011212 = 2233223285130893
BaseRepresentation
bin11110110111100010100…
…111111111011100001100
321111210020112120020222000
4132313202213333130030
5234223230034324322
64302250411552300
7306152556045642
oct36674247773414
97453215506860
102121221011212
11748671a62786
122a313475b690
131250516bb684
147494c035192
153a2a026e3ac
hex1ede29ff70c

2121221011212 has 96 divisors (see below), whose sum is σ = 5526239631360. Its totient is φ = 703633262400.

The previous prime is 2121221011207. The next prime is 2121221011243. The reversal of 2121221011212 is 2121101221212.

2121221011212 is a `hidden beast` number, since 21 + 212 + 210 + 11 + 212 = 666.

It is a super-3 number, since 3×21212210112123 (a number of 38 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 68648038 + ... + 68678930.

It is an arithmetic number, because the mean of its divisors is an integer number (57564996160).

Almost surely, 22121221011212 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 2121221011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763119815680).

2121221011212 is an abundant number, since it is smaller than the sum of its proper divisors (3405018620148).

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

2121221011212 is a wasteful number, since it uses less digits than its factorization.

2121221011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33980 (or 33972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2121221011212 its reverse (2121101221212), we get a palindrome (4242322232424).

The spelling of 2121221011212 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 2851 4014 5702 6021 8028 8553 11404 12042 17106 24084 25659 30893 34212 51318 61786 76977 92679 102636 123572 153954 185358 278037 307908 370716 556074 635773 834111 1112148 1271546 1668222 1907319 2543092 3336444 3814638 5721957 6889139 7629276 11443914 13778278 17165871 20667417 22887828 27556556 34331742 41334834 62002251 68663484 82669668 88075943 124004502 176151886 186006753 248009004 264227829 352303772 372013506 528455658 744027012 792683487 1056911316 1585366974 2378050461 3170733948 4756100922 9512201844 19640935289 39281870578 58922805867 78563741156 117845611734 176768417601 235691223468 353536835202 530305252803 707073670404 1060610505606 2121221011212