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11212020000 = 253654769
BaseRepresentation
bin10100111000100100…
…11101100100100000
31001221101101122000000
422130102131210200
5140430234120000
65052320300000
7544562411646
oct123422354440
931841348000
1011212020000
114833990635
12220aa71600
131098b2ca7c
14785101196
154594c0000
hex29c49d920

11212020000 has 420 divisors, whose sum is σ = 41409736830. Its totient is φ = 2985984000.

The previous prime is 11212019977. The next prime is 11212020007. The reversal of 11212020000 is 2021211.

It can be written as a sum of positive squares in 5 ways, for example, as 32764176 + 11179255824 = 5724^2 + 105732^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11212020007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14579616 + ... + 14580384.

Almost surely, 211212020000 is an apocalyptic number.

11212020000 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 11212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704868415).

11212020000 is an abundant number, since it is smaller than the sum of its proper divisors (30197716830).

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

11212020000 is an frugal number, since it uses more digits than its factorization.

11212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11212020000 its reverse (2021211), we get a palindrome (11214041211).

The spelling of 11212020000 in words is "eleven billion, two hundred twelve million, twenty thousand".