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212222120100020 = 225293197331144393
BaseRepresentation
bin110000010000001111010000…
…000101010000000010110100
31000211102020101102212100120222
4300100033100011100002310
5210304021400221200040
62031205255052113512
762462353655121542
oct6020172005200264
91024366342770528
10212222120100020
11616909941a4948
121b97609a765898
1391555c99801c4
143a598693a8d92
1519805b7387bb5
hexc103d01500b4

212222120100020 has 48 divisors (see below), whose sum is σ = 461036105706960. Its totient is φ = 81961318419456.

The previous prime is 212222120099917. The next prime is 212222120100031. The reversal of 212222120100020 is 20001021222212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5470677746704 + 206751442353316 = 2338948^2 + 14378854^2 .

It is a congruent number.

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, 184872944 + ... + 186017336.

It is an arithmetic number, because the mean of its divisors is an integer number (9604918868895).

Almost surely, 2212222120100020 is an apocalyptic number.

212222120100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222120100020 is an abundant number, since it is smaller than the sum of its proper divisors (248813985606940).

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

212222120100020 is a wasteful number, since it uses less digits than its factorization.

212222120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464164 (or 1464162 counting only the distinct ones).

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

Adding to 212222120100020 its reverse (20001021222212), we get a palindrome (232223141322232).

The spelling of 212222120100020 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 319733 639466 1144393 1278932 1598665 2288786 3197330 4577572 5721965 6394660 9272257 11443930 18544514 22887860 33187397 37089028 46361285 66374794 92722570 132749588 165936985 185445140 331873970 663747940 365900207069 731800414138 1463600828276 1829501035345 3659002070690 7318004141380 10611106005001 21222212010002 42444424020004 53055530025005 106111060050010 212222120100020