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21022022111220 = 2232513219293134007
BaseRepresentation
bin1001100011110100100100…
…01010010000111111110100
32202102200111212101002111200
410301322102022100333310
510223411100130024340
6112413214510532500
74266535206440544
oct461722212207764
982380455332450
1021022022111220
116775431491049
122436260807130
13b964a2b73900
1452968535d324
15266c6eb47330
hex131e92290ff4

21022022111220 has 864 divisors, whose sum is σ = 75448801209600. Its totient is φ = 4716956934144.

The previous prime is 21022022111219. The next prime is 21022022111227. The reversal of 21022022111220 is 2211122022012.

It is a happy number.

21022022111220 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 221 + 1 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21022022111193 and 21022022111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022022111227) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5246322457 + ... + 5246326463.

It is an arithmetic number, because the mean of its divisors is an integer number (87325001400).

Almost surely, 221022022111220 is an apocalyptic number.

21022022111220 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 21022022111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37724400604800).

21022022111220 is an abundant number, since it is smaller than the sum of its proper divisors (54426779098380).

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

21022022111220 is a wasteful number, since it uses less digits than its factorization.

21022022111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4391 counting only the distinct ones).

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

Adding to 21022022111220 its reverse (2211122022012), we get a palindrome (23233144133232).

The spelling of 21022022111220 in words is "twenty-one trillion, twenty-two billion, twenty-two million, one hundred eleven thousand, two hundred twenty".