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12212022011020 = 225131922310156009
BaseRepresentation
bin1011000110110101010100…
…1110111110010010001100
31121020110100210220020002021
42301231111032332102030
53100040210113323040
641550043033335524
72400201201246226
oct261552516762214
947213323806067
1012212022011020
1139890a90708a7
1214529315675a4
136a77865ac140
143030ca5ab416
151629e1a1224a
hexb1b553be48c

12212022011020 has 288 divisors, whose sum is σ = 30717034669440. Its totient is φ = 4045480243200.

The previous prime is 12212022011009. The next prime is 12212022011047. The reversal of 12212022011020 is 2011022021221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12212022010985 and 12212022011003.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 218008776 + ... + 218064784.

It is an arithmetic number, because the mean of its divisors is an integer number (106656370380).

Almost surely, 212212022011020 is an apocalyptic number.

12212022011020 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 12212022011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15358517334720).

12212022011020 is an abundant number, since it is smaller than the sum of its proper divisors (18505012658420).

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

12212022011020 is a wasteful number, since it uses less digits than its factorization.

12212022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56193 (or 56172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212022011020 its reverse (2011022021221), we get a palindrome (14223044032241).

The spelling of 12212022011020 in words is "twelve trillion, two hundred twelve billion, twenty-two million, eleven thousand, twenty".