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1221122010020 = 2251113267418373
BaseRepresentation
bin10001110001010000100…
…010110010101110100100
311022201221002111101121212
4101301100202302232210
5130001324213310040
62332550430330552
7154136353553123
oct21612042625644
94281832441555
101221122010020
114309695a3920
121787b3359a58
138b1c757b5a3
144316183baba
1521b6e1d8d65
hex11c508b2ba4

1221122010020 has 48 divisors (see below), whose sum is σ = 2797697060928. Its totient is φ = 444009836160.

The previous prime is 1221122010001. The next prime is 1221122010029. The reversal of 1221122010020 is 200102211221.

It is a super-2 number, since 2×12211220100202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221122009977 and 1221122010004.

It is not an unprimeable number, because it can be changed into a prime (1221122010029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2709554 + ... + 3127926.

It is an arithmetic number, because the mean of its divisors is an integer number (58285355436).

Almost surely, 21221122010020 is an apocalyptic number.

1221122010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221122010020 is an abundant number, since it is smaller than the sum of its proper divisors (1576575050908).

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

1221122010020 is a wasteful number, since it uses less digits than its factorization.

1221122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431660 (or 431658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221122010020 its reverse (200102211221), we get a palindrome (1421224221241).

The spelling of 1221122010020 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 13267 26534 53068 66335 132670 145937 265340 291874 418373 583748 729685 836746 1459370 1673492 2091865 2918740 4183730 4602103 8367460 9204206 18408412 23010515 46021030 92042060 5550554591 11101109182 22202218364 27752772955 55505545910 61056100501 111011091820 122112201002 244224402004 305280502505 610561005010 1221122010020