1203074146560 has 1152 divisors, whose sum is σ = 4628374732800. Its totient is φ = 262507069440.

The previous prime is 1203074146543. The next prime is 1203074146577. The reversal of 1203074146560 is 656414703021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1203074146543) and next prime (1203074146577).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5033782921 + ... + 5033783159.

It is an arithmetic number, because the mean of its divisors is an integer number (4017686400).

Almost surely, 2^{1203074146560} is an apocalyptic number.

1203074146560 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 1203074146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314187366400).

1203074146560 is an abundant number, since it is smaller than the sum of its proper divisors (3425300586240).

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

1203074146560 is a wasteful number, since it uses less digits than its factorization.

1203074146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 1203074146560 its reverse (656414703021), we get a palindrome (1859488849581).

The spelling of 1203074146560 in words is "one trillion, two hundred three billion, seventy-four million, one hundred forty-six thousand, five hundred sixty".