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20000011112000 = 265310130780627
BaseRepresentation
bin1001000110000100111011…
…00011101100111001000000
32121210222112011101001110022
410203002131203230321000
510110140010321041000
6110311513412153012
74132644630332243
oct443023543547100
977728464331408
1020000011112000
116410a58967707
1222b0177308768
13b20cba6a479a
144d201191125a
1524a3a5d2d585
hex12309d8ece40

20000011112000 has 224 divisors, whose sum is σ = 50183979221376. Its totient is φ = 7894897920000.

The previous prime is 20000011111973. The next prime is 20000011112017. The reversal of 20000011112000 is 21111000002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248015687 + ... + 248096313.

It is an arithmetic number, because the mean of its divisors is an integer number (224035621524).

Almost surely, 220000011112000 is an apocalyptic number.

20000011112000 is a gapful number since it is divisible by the number (20) 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 20000011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091989610688).

20000011112000 is an abundant number, since it is smaller than the sum of its proper divisors (30183968109376).

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

20000011112000 is a wasteful number, since it uses less digits than its factorization.

20000011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81062 (or 81042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20000011112000 its reverse (21111000002), we get a palindrome (20021122112002).

The spelling of 20000011112000 in words is "twenty trillion, eleven million, one hundred twelve thousand".