Search a number
-
+
22221112020120 = 233251361671161757
BaseRepresentation
bin1010000110101110000010…
…11111010000110010011000
32220200022120111120210012100
411003113001133100302120
510403032314134120440
6115132123221043400
74452264604466016
oct503270137206230
986608514523170
1022221112020120
117097a14483232
1225aa725556560
13c52598a40a70
1456b716a618b6
1528804e9b1230
hex1435c17d0c98

22221112020120 has 384 divisors, whose sum is σ = 80228776904640. Its totient is φ = 5299837931520.

The previous prime is 22221112020101. The next prime is 22221112020137. The reversal of 22221112020120 is 2102021112222.

It is a happy number.

22221112020120 is a `hidden beast` number, since 222 + 211 + 12 + 0 + 201 + 20 = 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 = 22221112020093 and 22221112020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18546282 + ... + 19708038.

Almost surely, 222221112020120 is an apocalyptic number.

22221112020120 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 22221112020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40114388452320).

22221112020120 is an abundant number, since it is smaller than the sum of its proper divisors (58007664884520).

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

22221112020120 is a wasteful number, since it uses less digits than its factorization.

22221112020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161915 (or 1161908 counting only the distinct ones).

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

Adding to 22221112020120 its reverse (2102021112222), we get a palindrome (24323133132342).

The spelling of 22221112020120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twelve million, twenty thousand, one hundred twenty".