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12111211000020 = 22351171301185837
BaseRepresentation
bin1011000000111101110001…
…1011011111000011010100
31120212211011010012020220010
42300033130123133003110
53041412230004000040
641431451415440220
72360002045634166
oct260173433370324
946784133166803
1012111211000020
11394a376964180
121437298086070
1369b10ba62a42
142dc285956936
151600914c7e80
hexb03dc6df0d4

12111211000020 has 192 divisors, whose sum is σ = 37528186816512. Its totient is φ = 2893703232000.

The previous prime is 12111210999983. The next prime is 12111211000087. The reversal of 12111211000020 is 2000011211121.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141052542 + ... + 141138378.

It is an arithmetic number, because the mean of its divisors is an integer number (195459306336).

Almost surely, 212111211000020 is an apocalyptic number.

12111211000020 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 12111211000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18764093408256).

12111211000020 is an abundant number, since it is smaller than the sum of its proper divisors (25416975816492).

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

12111211000020 is a wasteful number, since it uses less digits than its factorization.

12111211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88942 (or 88940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111211000020 its reverse (2000011211121), we get a palindrome (14111222211141).

The spelling of 12111211000020 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, twenty", and thus it is an aban number.