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1011201120120 = 23351311812771283
BaseRepresentation
bin11101011011100000100…
…10001001011101111000
310120200002100022021122210
432231300102021131320
5113031414441320440
62052312301215120
7133025335462632
oct16556022113570
93520070267583
101011201120120
1135a936741264
12143b892614a0
1374481a80279
1436d29d0ba52
151b484cd1a80
hexeb70489778

1011201120120 has 256 divisors, whose sum is σ = 3087149345280. Its totient is φ = 264949401600.

The previous prime is 1011201120067. The next prime is 1011201120121. The reversal of 1011201120120 is 210211021101.

1011201120120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011201120096 and 1011201120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201120121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788152999 + ... + 788154281.

It is an arithmetic number, because the mean of its divisors is an integer number (12059177130).

Almost surely, 21011201120120 is an apocalyptic number.

1011201120120 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 1011201120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543574672640).

1011201120120 is an abundant number, since it is smaller than the sum of its proper divisors (2075948225160).

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

1011201120120 is a wasteful number, since it uses less digits than its factorization.

1011201120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1882 counting only the distinct ones).

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

Adding to 1011201120120 its reverse (210211021101), we get a palindrome (1221412141221).

The spelling of 1011201120120 in words is "one trillion, eleven billion, two hundred one million, one hundred twenty thousand, one hundred twenty".