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11121221210000 = 245411130177711
BaseRepresentation
bin1010000111010101110001…
…1100001000111110010000
31110101011211000202011222212
42201311130130020332100
52424202230112210000
635353003554451252
72225324141362616
oct241653434107620
943334730664885
1011121221210000
1135a85354971a0
1212b744a593b28
1362895a61a995
142a63acb6d6b6
1514444d989c35
hexa1d5c708f90

11121221210000 has 200 divisors, whose sum is σ = 29396325264768. Its totient is φ = 4040920000000.

The previous prime is 11121221209991. The next prime is 11121221210003. The reversal of 11121221210000 is 1212212111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×111212212100002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121221210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143071145 + ... + 143148855.

Almost surely, 211121221210000 is an apocalyptic number.

11121221210000 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 11121221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698162632384).

11121221210000 is an abundant number, since it is smaller than the sum of its proper divisors (18275104054768).

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

11121221210000 is a wasteful number, since it uses less digits than its factorization.

11121221210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79051 (or 79030 counting only the distinct ones).

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

Adding to 11121221210000 its reverse (1212212111), we get a palindrome (11122433422111).

The spelling of 11121221210000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand".