Search a number
-
+
1222121011212 = 2233531061201233
BaseRepresentation
bin10001110010001100000…
…101101011100000001100
311022211111201021220122000
4101302030011223200030
5130010400434324322
62333233514352300
7154203204124053
oct21621405534014
94284451256560
101222121011212
114313314a5242
12178a31a2b690
138b326528c5a
14432183a939a
1521bcbc6e3ac
hex11c8c16b80c

1222121011212 has 96 divisors (see below), whose sum is σ = 3231302880960. Its totient is φ = 399308682240.

The previous prime is 1222121011193. The next prime is 1222121011213. The reversal of 1222121011212 is 2121101212221.

1222121011212 is a `hidden beast` number, since 12 + 221 + 210 + 11 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1222121011213) 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, 5972548 + ... + 6173780.

It is an arithmetic number, because the mean of its divisors is an integer number (33659405010).

Almost surely, 21222121011212 is an apocalyptic number.

1222121011212 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 1222121011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615651440480).

1222121011212 is an abundant number, since it is smaller than the sum of its proper divisors (2009181869748).

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

1222121011212 is a wasteful number, since it uses less digits than its factorization.

1222121011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202360 (or 202352 counting only the distinct ones).

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

Adding to 1222121011212 its reverse (2121101212221), we get a palindrome (3343222223433).

The spelling of 1222121011212 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1061 1431 1908 2122 2862 3183 4244 5724 6366 9549 12732 19098 28647 38196 56233 57294 112466 114588 168699 201233 224932 337398 402466 506097 603699 674796 804932 1012194 1207398 1518291 1811097 2024388 2414796 3036582 3622194 5433291 6073164 7244388 10665349 10866582 21330698 21733164 31996047 42661396 63992094 95988141 127984188 191976282 213508213 287964423 383952564 427016426 575928846 640524639 854032852 1151857692 1281049278 1921573917 2562098556 3843147834 5764721751 7686295668 11315935289 11529443502 22631870578 23058887004 33947805867 45263741156 67895611734 101843417601 135791223468 203686835202 305530252803 407373670404 611060505606 1222121011212