1201455504000 has 320 divisors, whose sum is σ = 4462243929000. Its totient is φ = 320387788800.

The previous prime is 1201455503987. The next prime is 1201455504037. The reversal of 1201455504000 is 4055541021.

1201455504000 is a `hidden beast` number, since 1 + 201 + 4 + 5 + 5 + 50 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 363088194624 + 838367309376 = 602568^2 + 915624^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 832476 + ... + 1759524.

Almost surely, 2^{1201455504000} is an apocalyptic number.

1201455504000 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 1201455504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231121964500).

1201455504000 is an abundant number, since it is smaller than the sum of its proper divisors (3260788425000).

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

1201455504000 is an frugal number, since it uses more digits than its factorization.

1201455504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927090 (or 927059 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1201455504000 in words is "one trillion, two hundred one billion, four hundred fifty-five million, five hundred four thousand".