1201471920 has 240 divisors, whose sum is σ = 4549812960. Its totient is φ = 291202560.

The previous prime is 1201471919. The next prime is 1201471927. The reversal of 1201471920 is 291741021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1201471927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259062 + ... + 263658.

It is an arithmetic number, because the mean of its divisors is an integer number (18957554).

Almost surely, 2^1201471920 is an apocalyptic number.

1201471920 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 1201471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274906480).

1201471920 is an abundant number, since it is smaller than the sum of its proper divisors (3348341040).

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

1201471920 is a wasteful number, since it uses less digits than its factorization.

1201471920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1201471920 is about 34662.2549756937. The cubic root of 1201471920 is about 1063.0928773238.

The spelling of 1201471920 in words is "one billion, two hundred one million, four hundred seventy-one thousand, nine hundred twenty".