1201007600800 has 216 divisors, whose sum is σ = 3528258981660. Its totient is φ = 397574553600.

The previous prime is 1201007600761. The next prime is 1201007600839. The reversal of 1201007600800 is 80067001021.

It is an interprime number because it is at equal distance from previous prime (1201007600761) and next prime (1201007600839).

It can be written as a sum of positive squares in 6 ways, for example, as 177648762256 + 1023358838544 = 421484^2 + 1011612^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 608560 + ... + 1665040.

Almost surely, 2^{1201007600800} is an apocalyptic number.

1201007600800 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 1201007600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764129490830).

1201007600800 is an abundant number, since it is smaller than the sum of its proper divisors (2327251380860).

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

1201007600800 is a wasteful number, since it uses less digits than its factorization.

1201007600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056544 (or 1056524 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 1201007600800 in words is "one trillion, two hundred one billion, seven million, six hundred thousand, eight hundred".