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12220201220220 = 22325759271960457
BaseRepresentation
bin1011000111010011110011…
…0000001011100001111100
31121021020110211112002210100
42301310330300023201330
53100203433003021340
641553514414241100
72400610656342210
oct261647460134174
947236424462710
1012220201220220
113991616010824
1214544347b6190
136a848acaa1b6
143036649a4940
15162d1eb0b830
hexb1d3cc0b87c

12220201220220 has 288 divisors, whose sum is σ = 43097944780800. Its totient is φ = 2744791391232.

The previous prime is 12220201220219. The next prime is 12220201220231. The reversal of 12220201220220 is 2202210202221.

12220201220220 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 201 + 220 + 220 = 666.

12220201220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12220201220193 and 12220201220202.

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, 202100232 + ... + 202160688.

It is an arithmetic number, because the mean of its divisors is an integer number (149645641600).

Almost surely, 212220201220220 is an apocalyptic number.

12220201220220 is a gapful number since it is divisible by the number (10) 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 12220201220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548972390400).

12220201220220 is an abundant number, since it is smaller than the sum of its proper divisors (30877743560580).

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

12220201220220 is a wasteful number, since it uses less digits than its factorization.

12220201220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63257 (or 63252 counting only the distinct ones).

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

Adding to 12220201220220 its reverse (2202210202221), we get a palindrome (14422411422441).

The spelling of 12220201220220 in words is "twelve trillion, two hundred twenty billion, two hundred one million, two hundred twenty thousand, two hundred twenty".