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212210222120 = 235132811452301
BaseRepresentation
bin1100010110100010110…
…1110000010000101000
3202021202021222020101022
43011220231300100220
511434101304101440
6241253225312012
721221524061141
oct3055055602050
9667667866338
10212210222120
1181aa8157866
1235164935608
131701bba9990
14a3b19c2ac8
1557c03bccb5
hex3168b70428

212210222120 has 64 divisors (see below), whose sum is σ = 516031946640. Its totient is φ = 78075648000.

The previous prime is 212210222101. The next prime is 212210222251. The reversal of 212210222120 is 21222012212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64303830724 + 147906391396 = 253582^2 + 384586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580031 + ... + 872270.

Almost surely, 2212210222120 is an apocalyptic number.

212210222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210222120 is an abundant number, since it is smaller than the sum of its proper divisors (303821724520).

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

212210222120 is a wasteful number, since it uses less digits than its factorization.

212210222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452606 (or 1452602 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212210222120 its reverse (21222012212), we get a palindrome (233432234332).

The spelling of 212210222120 in words is "two hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 281 520 562 1124 1405 2248 2810 3653 5620 7306 11240 14612 18265 29224 36530 73060 146120 1452301 2904602 5809204 7261505 11618408 14523010 18879913 29046020 37759826 58092040 75519652 94399565 151039304 188799130 377598260 408096581 755196520 816193162 1632386324 2040482905 3264772648 4080965810 5305255553 8161931620 10610511106 16323863240 21221022212 26526277765 42442044424 53052555530 106105111060 212210222120