1011263010120 has 320 divisors, whose sum is σ = 3835829131200. Its totient is φ = 236700817920.

The previous prime is 1011263010071. The next prime is 1011263010127. The reversal of 1011263010120 is 210103621101.

1011263010120 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 630 + 10 + 1 + 20 = 666.

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 = 1011263010093 and 1011263010102.

It is not an unprimeable number, because it can be changed into a prime (1011263010127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 544347 + ... + 1522773.

It is an arithmetic number, because the mean of its divisors is an integer number (11986966035).

Almost surely, 2^{1011263010120} is an apocalyptic number.

1011263010120 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 1011263010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917914565600).

1011263010120 is an abundant number, since it is smaller than the sum of its proper divisors (2824566121080).

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

1011263010120 is a wasteful number, since it uses less digits than its factorization.

1011263010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978490 (or 978477 counting only the distinct ones).

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

Adding to 1011263010120 its reverse (210103621101), we get a palindrome (1221366631221).

It can be divided in two parts, 10112630 and 10120, that added together give a triangular number (10122750 = T₄₄₉₉).

The spelling of 1011263010120 in words is "one trillion, eleven billion, two hundred sixty-three million, ten thousand, one hundred twenty".