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220202212120020 = 22325131995312974007
BaseRepresentation
bin110010000100010111010010…
…101000011101010111010100
31001212200010101202212120220200
4302010113102220131113110
5212330243112300320040
62100155255535100500
764245041044112064
oct6204272250352724
91055603352776820
10220202212120020
116418826309a049
12208447b7371730
1395b3c96c77c30
143c53bb5a773a4
151a6ce716ac630
hexc845d2a1d5d4

220202212120020 has 576 divisors, whose sum is σ = 758754804487680. Its totient is φ = 51244573556736.

The previous prime is 220202212119947. The next prime is 220202212120021. The reversal of 220202212120020 is 20021212202022.

220202212120020 is a `hidden beast` number, since 2 + 202 + 0 + 221 + 21 + 200 + 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 = 220202212119975 and 220202212120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202212120021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54954380857 + ... + 54954384863.

It is an arithmetic number, because the mean of its divisors is an integer number (1317282646680).

Almost surely, 2220202212120020 is an apocalyptic number.

220202212120020 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 220202212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379377402243840).

220202212120020 is an abundant number, since it is smaller than the sum of its proper divisors (538552592367660).

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

220202212120020 is a wasteful number, since it uses less digits than its factorization.

220202212120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202212120020 its reverse (20021212202022), we get a palindrome (240223424322042).

The spelling of 220202212120020 in words is "two hundred twenty trillion, two hundred two billion, two hundred twelve million, one hundred twenty thousand, twenty".