1021461120 has 96 divisors (see below), whose sum is σ = 3527252820. Its totient is φ = 272388096.

The previous prime is 1021461101. The next prime is 1021461157. The reversal of 1021461120 is 211641201.

1021461120 is a `hidden beast` number, since 10 + 21 + 4 + 611 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 887086656 + 134374464 = 29784^2 + 11592^2 .

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

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 = 1021461093 and 1021461102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82909 + ... + 94428.

Almost surely, 2^1021461120 is an apocalyptic number.

1021461120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021461120 is an abundant number, since it is smaller than the sum of its proper divisors (2505791700).

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

1021461120 is a wasteful number, since it uses less digits than its factorization.

1021461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177362 (or 177347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1021461120 is about 31960.3053802682. The cubic root of 1021461120 is about 1007.1031327107.

The spelling of 1021461120 in words is "one billion, twenty-one million, four hundred sixty-one thousand, one hundred twenty".