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12011311120032 = 2533721556918223
BaseRepresentation
bin1010111011001001100111…
…1011101011111010100000
31120112021021220221112111000
42232302121323223322200
53033243131121320112
641313530430352000
72346534325650600
oct256623173537240
946467256845430
1012011311120032
113910a71aa1794
12141ba5795b600
1369187ac09613
142d74c9d18c00
1515c695e687dc
hexaec99eebea0

12011311120032 has 288 divisors, whose sum is σ = 40757516755200. Its totient is φ = 3431394441216.

The previous prime is 12011311120009. The next prime is 12011311120057. The reversal of 12011311120032 is 23002111311021.

12011311120032 is a `hidden beast` number, since 1 + 201 + 1 + 311 + 120 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011311119987 and 12011311120014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659120073 + ... + 659138295.

It is an arithmetic number, because the mean of its divisors is an integer number (141519155400).

Almost surely, 212011311120032 is an apocalyptic number.

12011311120032 is a gapful number since it is divisible by the number (12) 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 12011311120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378758377600).

12011311120032 is an abundant number, since it is smaller than the sum of its proper divisors (28746205635168).

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

12011311120032 is a wasteful number, since it uses less digits than its factorization.

12011311120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33825 (or 33804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011311120032 its reverse (23002111311021), we get a palindrome (35013422431053).

The spelling of 12011311120032 in words is "twelve trillion, eleven billion, three hundred eleven million, one hundred twenty thousand, thirty-two".