1205457220000 has 240 divisors, whose sum is σ = 3267298054944. Its totient is φ = 434000000000.

The previous prime is 1205457219977. The next prime is 1205457220043. The reversal of 1205457220000 is 227545021.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22192875 + ... + 22247125.

Almost surely, 2^{1205457220000} is an apocalyptic number.

1205457220000 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 1205457220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633649027472).

1205457220000 is an abundant number, since it is smaller than the sum of its proper divisors (2061840834944).

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

1205457220000 is a wasteful number, since it uses less digits than its factorization.

1205457220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54393 (or 54370 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The spelling of 1205457220000 in words is "one trillion, two hundred five billion, four hundred fifty-seven million, two hundred twenty thousand".