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12212110110020 = 2253375093559697
BaseRepresentation
bin1011000110110101101001…
…1111000010110101000100
31121020110120221200010012012
42301231122133002311010
53100040400142010040
641550055501513352
72400203321133512
oct261553237026504
947213527603165
1012212110110020
113989143873997
121452956b72858
136a779b916a22
143030d81814b2
151629e9615865
hexb1b5a7c2d44

12212110110020 has 48 divisors (see below), whose sum is σ = 25772071132080. Its totient is φ = 4860779126784.

The previous prime is 12212110109977. The next prime is 12212110110043. The reversal of 12212110110020 is 2001101121221.

12212110110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3193606144 + 12208916503876 = 56512^2 + 3494126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12212110109977 and 12212110110004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650812 + ... + 5210508.

It is an arithmetic number, because the mean of its divisors is an integer number (536918148585).

Almost surely, 212212110110020 is an apocalyptic number.

12212110110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212110110020 is an abundant number, since it is smaller than the sum of its proper divisors (13559961022060).

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

12212110110020 is a wasteful number, since it uses less digits than its factorization.

12212110110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560552 (or 3560550 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12212110110020 its reverse (2001101121221), we get a palindrome (14213211231241).

The spelling of 12212110110020 in words is "twelve trillion, two hundred twelve billion, one hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 337 509 674 1018 1348 1685 2036 2545 3370 5090 6740 10180 171533 343066 686132 857665 1715330 3430660 3559697 7119394 14238788 17798485 35596970 71193940 1199617889 1811885773 2399235778 3623771546 4798471556 5998089445 7247543092 9059428865 11996178890 18118857730 23992357780 36237715460 610605505501 1221211011002 2442422022004 3053027527505 6106055055010 12212110110020