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1221112120020 = 2235138591822501
BaseRepresentation
bin10001110001001111111…
…101000100001011010100
311022201220101212221002120
4101301033331010023110
5130001314200320040
62332545434335540
7154136203522242
oct21611775041324
94281811787076
101221112120020
11430963a59371
121787abb8a5b0
138b1c54c7b10
14431603c5792
1521b6d3d37d0
hex11c4ff442d4

1221112120020 has 96 divisors (see below), whose sum is σ = 3686411245440. Its totient is φ = 300231360000.

The previous prime is 1221112120009. The next prime is 1221112120049. The reversal of 1221112120020 is 200212111221.

It is a super-2 number, since 2×12211121200202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241231 + ... + 1581270.

It is an arithmetic number, because the mean of its divisors is an integer number (38400117140).

Almost surely, 21221112120020 is an apocalyptic number.

1221112120020 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 1221112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843205622720).

1221112120020 is an abundant number, since it is smaller than the sum of its proper divisors (2465299125420).

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

1221112120020 is a wasteful number, since it uses less digits than its factorization.

1221112120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823385 (or 1823383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221112120020 its reverse (200212111221), we get a palindrome (1421324231241).

The spelling of 1221112120020 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 859 1718 2577 3436 4295 5154 8590 10308 11167 12885 17180 22334 25770 33501 44668 51540 55835 67002 111670 134004 167505 223340 335010 670020 1822501 3645002 5467503 7290004 9112505 10935006 18225010 21870012 23692513 27337515 36450020 47385026 54675030 71077539 94770052 109350060 118462565 142155078 236925130 284310156 355387695 473850260 710775390 1421550780 1565528359 3131056718 4696585077 6262113436 7827641795 9393170154 15655283590 18786340308 20351868667 23482925385 31310567180 40703737334 46965850770 61055606001 81407474668 93931701540 101759343335 122111212002 203518686670 244222424004 305278030005 407037373340 610556060010 1221112120020