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11221222212020 = 2251017681723221
BaseRepresentation
bin1010001101001010010011…
…1101101100000110110100
31110201201221021021102202102
42203102210331230012310
52432322030341241040
635510542555201232
72235464230023512
oct243224475540664
943651837242672
1011221222212020
113636991447107
1213128b8746218
136352063bb522
142ab177db14b2
15146d52d21515
hexa34a4f6c1b4

11221222212020 has 48 divisors (see below), whose sum is σ = 23801010374736. Its totient is φ = 4443463680000.

The previous prime is 11221222211981. The next prime is 11221222212103. The reversal of 11221222212020 is 2021222212211.

It can be written as a sum of positive squares in 8 ways, for example, as 855835912996 + 10365386299024 = 925114^2 + 3219532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11221222211983 and 11221222212001.

It is a congruent number.

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, 15154010 + ... + 15877230.

It is an arithmetic number, because the mean of its divisors is an integer number (495854382807).

Almost surely, 211221222212020 is an apocalyptic number.

11221222212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221222212020 is an abundant number, since it is smaller than the sum of its proper divisors (12579788162716).

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

11221222212020 is a wasteful number, since it uses less digits than its factorization.

11221222212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731012 (or 731010 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11221222212020 its reverse (2021222212211), we get a palindrome (13242444424231).

The spelling of 11221222212020 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 7681 15362 30724 38405 76810 153620 723221 775781 1446442 1551562 2892884 3103124 3616105 3878905 7232210 7757810 14464420 15515620 73045321 146090642 292181284 365226605 730453210 1460906420 5555060501 11110121002 22220242004 27775302505 55550605010 111101210020 561061110601 1122122221202 2244244442404 2805305553005 5610611106010 11221222212020