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11211310142120 = 2351124390759393
BaseRepresentation
bin1010001100100101011000…
…1010001001001010101000
31110200210100110222010001102
42203021112022021022220
52432141230344021440
635502223233140532
72234663500563524
oct243112612111250
943623313863042
1011211310142120
11363276532a300
1213109b10ba748
136342b69a9aca
142aa8b77bad84
15146972a31b15
hexa32562892a8

11211310142120 has 192 divisors, whose sum is σ = 28403721783360. Its totient is φ = 3977572515840.

The previous prime is 11211310142117. The next prime is 11211310142159. The reversal of 11211310142120 is 2124101311211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11211310142092 and 11211310142101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188735144 + ... + 188794536.

It is an arithmetic number, because the mean of its divisors is an integer number (147936050955).

Almost surely, 211211310142120 is an apocalyptic number.

11211310142120 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 11211310142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14201860891680).

11211310142120 is an abundant number, since it is smaller than the sum of its proper divisors (17192411641240).

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

11211310142120 is a wasteful number, since it uses less digits than its factorization.

11211310142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60376 (or 60361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 11211310142120 its reverse (2124101311211), we get a palindrome (13335411453331).

The spelling of 11211310142120 in words is "eleven trillion, two hundred eleven billion, three hundred ten million, one hundred forty-two thousand, one hundred twenty".