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1011011212120 = 235721379502261
BaseRepresentation
bin11101011011001001111…
…01101101001101011000
310120122121002221221212011
432231210331231031120
5113031022332241440
62052241354555304
7133020541340200
oct16554475551530
93518532857764
101011011212120
1135a8495215a8
12143b35738b34
137445161a680
1436d0c9d5400
151b4732bc9ea
hexeb64f6d358

1011011212120 has 192 divisors, whose sum is σ = 2885796547200. Its totient is φ = 315917521920.

The previous prime is 1011011212111. The next prime is 1011011212121. The reversal of 1011011212120 is 212121101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1011011212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011212121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1761790 + ... + 2264050.

It is an arithmetic number, because the mean of its divisors is an integer number (15030190350).

Almost surely, 21011011212120 is an apocalyptic number.

1011011212120 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 1011011212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442898273600).

1011011212120 is an abundant number, since it is smaller than the sum of its proper divisors (1874785335080).

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

1011011212120 is a wasteful number, since it uses less digits than its factorization.

1011011212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502378 (or 502367 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011011212120 its reverse (212121101101), we get a palindrome (1223132313221).

The spelling of 1011011212120 in words is "one trillion, eleven billion, eleven million, two hundred twelve thousand, one hundred twenty".