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120220212212100 = 2233527111359375011
BaseRepresentation
bin11011010101011011110011…
…000010110011000110000100
3120202122221101021220110222000
4123111123303002303012010
5111224141443311241400
61103404223020505300
734215423634124220
oct3325336302630604
9522587337813860
10120220212212100
1135340118728530
12115975959ab230
135210943095460
1421989916b7780
15dd730c2b3600
hex6d56f30b3184

120220212212100 has 1152 divisors, whose sum is σ = 519799890677760. Its totient is φ = 23020028928000.

The previous prime is 120220212212063. The next prime is 120220212212101. The reversal of 120220212212100 is 1212212022021.

It is a happy number.

120220212212100 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 212 + 21 + 210 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120220212212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1602663595 + ... + 1602738605.

It is an arithmetic number, because the mean of its divisors is an integer number (451215182880).

Almost surely, 2120220212212100 is an apocalyptic number.

120220212212100 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 120220212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259899945338880).

120220212212100 is an abundant number, since it is smaller than the sum of its proper divisors (399579678465660).

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

120220212212100 is a wasteful number, since it uses less digits than its factorization.

120220212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75658 (or 75645 counting only the distinct ones).

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

Adding to 120220212212100 its reverse (1212212022021), we get a palindrome (121432424234121).

The spelling of 120220212212100 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred".