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211221222201220 = 225731143619910501
BaseRepresentation
bin110000000001101011000101…
…111010110001011110000100
31000200212112220010212221111211
4300001223011322301132010
5210141122030340414340
62025121405004341204
762330141535265000
oct6001530572613604
91020775803787454
10211221222201220
1161335465452330
121b834107b44804
1390b20ca6754ca
143a232399d1700
151964536dac5ea
hexc01ac5eb1784

211221222201220 has 384 divisors, whose sum is σ = 577573032960000. Its totient is φ = 64287639360000.

The previous prime is 211221222201097. The next prime is 211221222201229. The reversal of 211221222201220 is 22102222122112.

It is a super-2 number, since 2×2112212222012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211221222201191 and 211221222201200.

It is not an unprimeable number, because it can be changed into a prime (211221222201229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20114385970 + ... + 20114396470.

It is an arithmetic number, because the mean of its divisors is an integer number (1504096440000).

Almost surely, 2211221222201220 is an apocalyptic number.

211221222201220 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 211221222201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288786516480000).

211221222201220 is an abundant number, since it is smaller than the sum of its proper divisors (366351810758780).

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

211221222201220 is a wasteful number, since it uses less digits than its factorization.

211221222201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211221222201220 its reverse (22102222122112), we get a palindrome (233323444323332).

The spelling of 211221222201220 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".