1061121120 has 96 divisors (see below), whose sum is σ = 3518484480. Its totient is φ = 268070400.

The previous prime is 1061121097. The next prime is 1061121137. The reversal of 1061121120 is 211211601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1061121120² = 2251956062620108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1061121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49056 + ... + 67295.

It is an arithmetic number, because the mean of its divisors is an integer number (36650880).

Almost surely, 2^1061121120 is an apocalyptic number.

1061121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061121120 is an abundant number, since it is smaller than the sum of its proper divisors (2457363360).

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

1061121120 is a wasteful number, since it uses less digits than its factorization.

1061121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116388 (or 116380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1061121120 is about 32574.8541055827. The cubic root of 1061121120 is about 1019.9721637924.

Adding to 1061121120 its reverse (211211601), we get a palindrome (1272332721).

The spelling of 1061121120 in words is "one billion, sixty-one million, one hundred twenty-one thousand, one hundred twenty".