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1021221022212 = 2232178918749009
BaseRepresentation
bin11101101110001011000…
…01000010101000000100
310121121221122112001022200
432313011201002220010
5113212430040202322
62101050434354500
7133531544315316
oct16670541025004
93547848461280
101021221022212
11364108709a86
12145b04a2ba30
13753ba918411
14375da9717b6
151b86e7c18ac
hexedc5842a04

1021221022212 has 72 divisors (see below), whose sum is σ = 2763979054200. Its totient is φ = 316783239168.

The previous prime is 1021221022111. The next prime is 1021221022223. The reversal of 1021221022212 is 2122201221201.

It is a happy number.

1021221022212 is a `hidden beast` number, since 10 + 212 + 210 + 22 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21846276 + 1021199175936 = 4674^2 + 1010544^2 .

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 23 ways as a sum of consecutive naturals, for example, 9320037 + ... + 9428972.

It is an arithmetic number, because the mean of its divisors is an integer number (38388597975).

Almost surely, 21021221022212 is an apocalyptic number.

1021221022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021221022212 is an abundant number, since it is smaller than the sum of its proper divisors (1742758031988).

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

1021221022212 is a wasteful number, since it uses less digits than its factorization.

1021221022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18749125 (or 18749120 counting only the distinct ones).

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

Adding to 1021221022212 its reverse (2122201221201), we get a palindrome (3143422243413).

The spelling of 1021221022212 in words is "one trillion, twenty-one billion, two hundred twenty-one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 89 102 153 178 204 267 306 356 534 612 801 1068 1513 1602 3026 3204 4539 6052 9078 13617 18156 27234 54468 18749009 37498018 56247027 74996036 112494054 168741081 224988108 318733153 337482162 637466306 674964324 956199459 1274932612 1668661801 1912398918 2868598377 3337323602 3824797836 5005985403 5737196754 6674647204 10011970806 11474393508 15017956209 20023941612 28367250617 30035912418 56734501234 60071824836 85101751851 113469002468 170203503702 255305255553 340407007404 510610511106 1021221022212