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220201101222012 = 223517127439479499
BaseRepresentation
bin110010000100010110010000…
…011010101110000001111100
31001212200000112100112010100000
4302010112100122232001330
5212330233323403101022
62100154553412434300
764245001364456301
oct6204262032560174
91055600470463300
10220201101222012
1164187843010a19
1220844547318990
1395b3b4aa7ca31
143c53b0c2dd0a8
151a6ce08dc26ac
hexc845906ae07c

220201101222012 has 576 divisors, whose sum is σ = 619934515200000. Its totient is φ = 68103101058048.

The previous prime is 220201101222001. The next prime is 220201101222013. The reversal of 220201101222012 is 210222101102022.

It is a happy number.

220201101222012 is a `hidden beast` number, since 220 + 201 + 1 + 0 + 12 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201101222013) 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, 441284771739 + ... + 441284772237.

It is an arithmetic number, because the mean of its divisors is an integer number (1076275200000).

Almost surely, 2220201101222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201101222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309967257600000).

220201101222012 is an abundant number, since it is smaller than the sum of its proper divisors (399733413977988).

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

220201101222012 is a wasteful number, since it uses less digits than its factorization.

220201101222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

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

Adding to 220201101222012 its reverse (210222101102022), we get a palindrome (430423202324034).

The spelling of 220201101222012 in words is "two hundred twenty trillion, two hundred one billion, one hundred one million, two hundred twenty-two thousand, twelve".