1601128212480 has 576 divisors, whose sum is σ = 5853635424000. Its totient is φ = 403641335808.

The previous prime is 1601128212457. The next prime is 1601128212533. The reversal of 1601128212480 is 842128211061.

1601128212480 is a `hidden beast` number, since 1 + 60 + 112 + 8 + 2 + 1 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1601128212480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451611609 + ... + 1451612711.

It is an arithmetic number, because the mean of its divisors is an integer number (10162561500).

Almost surely, 2^{1601128212480} is an apocalyptic number.

1601128212480 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 1601128212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926817712000).

1601128212480 is an abundant number, since it is smaller than the sum of its proper divisors (4252507211520).

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

1601128212480 is a wasteful number, since it uses less digits than its factorization.

1601128212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1601128212480 in words is "one trillion, six hundred one billion, one hundred twenty-eight million, two hundred twelve thousand, four hundred eighty".