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21222120000 = 2635417101103
BaseRepresentation
bin10011110000111011…
…111101101001000000
32000210000011101201110
4103300323331221000
5321430330320000
613425503403320
71350622020654
oct236073755100
960700141643
1021222120000
119000373954
1241432b3540
132002945473
141054732a64
158431c5850
hex4f0efda40

21222120000 has 560 divisors, whose sum is σ = 75756650112. Its totient is φ = 5222400000.

The previous prime is 21222119957. The next prime is 21222120011. The reversal of 21222120000 is 2122212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206039949 + ... + 206040051.

Almost surely, 221222120000 is an apocalyptic number.

21222120000 is a gapful number since it is divisible by the number (20) 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 21222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37878325056).

21222120000 is an abundant number, since it is smaller than the sum of its proper divisors (54534530112).

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

21222120000 is a wasteful number, since it uses less digits than its factorization.

21222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21222120000 its reverse (2122212), we get a palindrome (21224242212).

21222120000 divided by its reverse (2122212) gives a 4-th power (10000 = 104).

It can be divided in two parts, 212221 and 20000, that added together give a triangular number (232221 = T681).

The spelling of 21222120000 in words is "twenty-one billion, two hundred twenty-two million, one hundred twenty thousand".