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2221212212120 = 23511279101113509
BaseRepresentation
bin100000010100101010100…
…100001001101110011000
321212100100002122120010102
4200110222210021232120
5242343020311241440
64420224422234532
7316322465166056
oct40245244115630
97770302576112
102221212212120
11787013428a00
122ba59b585a48
131315c843a045
1479715c451d6
153cba381bb15
hex2052a909b98

2221212212120 has 384 divisors, whose sum is σ = 5678836128000. Its totient is φ = 781068288000.

The previous prime is 2221212212099. The next prime is 2221212212123. The reversal of 2221212212120 is 212122121222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221212212092 and 2221212212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221212212123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4363874426 + ... + 4363874934.

It is an arithmetic number, because the mean of its divisors is an integer number (14788635750).

Almost surely, 22221212212120 is an apocalyptic number.

2221212212120 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 2221212212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839418064000).

2221212212120 is an abundant number, since it is smaller than the sum of its proper divisors (3457623915880).

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

2221212212120 is a wasteful number, since it uses less digits than its factorization.

2221212212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2221212212120 its reverse (212122121222), we get a palindrome (2433334333342).

It can be divided in two parts, 2 and 221212212120, that added together give a palindrome (221212212122).

The spelling of 2221212212120 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".