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12011102220000 = 2535413113136273
BaseRepresentation
bin1010111011001000110101…
…1110110010111011100000
31120112020202100212022111210
42232302031132302323200
53033242214132020000
641313454005110120
72346526211224602
oct256621536627340
946466670768453
1012011102220000
113910975090034
12141b9b99b8340
13691846857330
142d74aa29b172
1515c682952350
hexaec8d7b2ee0

12011102220000 has 480 divisors, whose sum is σ = 42805292146848. Its totient is φ = 2930393088000.

The previous prime is 12011102219993. The next prime is 12011102220031. The reversal of 12011102220000 is 2220111021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88071864 + ... + 88208136.

Almost surely, 212011102220000 is an apocalyptic number.

12011102220000 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 12011102220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402646073424).

12011102220000 is an abundant number, since it is smaller than the sum of its proper divisors (30794189926848).

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

12011102220000 is a wasteful number, since it uses less digits than its factorization.

12011102220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136432 (or 136409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011102220000 its reverse (2220111021), we get a palindrome (12013322331021).

The spelling of 12011102220000 in words is "twelve trillion, eleven billion, one hundred two million, two hundred twenty thousand".