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220101201210000 = 24354111913492007
BaseRepresentation
bin110010000010111001001101…
…111010011010101010010000
31001212022110200011000200211010
4302002321031322122222100
5212322114230002210000
62100041032420450520
764234533643413045
oct6202711572325220
91055273604020733
10220101201210000
1164149439069320
1220829106b49a40
1395a75b9bab4a6
143c4cd526691cc
151a6a50d838d50
hexc82e4de9aa90

220101201210000 has 400 divisors, whose sum is σ = 779166772420608. Its totient is φ = 53078491200000.

The previous prime is 220101201209993. The next prime is 220101201210049. The reversal of 220101201210000 is 12102101022.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61283997 + ... + 64776003.

Almost surely, 2220101201210000 is an apocalyptic number.

220101201210000 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 220101201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389583386210304).

220101201210000 is an abundant number, since it is smaller than the sum of its proper divisors (559065571210608).

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

220101201210000 is a wasteful number, since it uses less digits than its factorization.

220101201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492240 (or 3492219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220101201210000 its reverse (12102101022), we get a palindrome (220113303311022).

The spelling of 220101201210000 in words is "two hundred twenty trillion, one hundred one billion, two hundred one million, two hundred ten thousand".