1227212985600 has 1296 divisors, whose sum is σ = 5243943810560. Its totient is φ = 278144409600.

The previous prime is 1227212985587. The next prime is 1227212985619. The reversal of 1227212985600 is 65892127221.

1227212985600 is a `hidden beast` number, since 1 + 2 + 2 + 72 + 12 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1513209195 + ... + 1513210005.

Almost surely, 2^{1227212985600} is an apocalyptic number.

1227212985600 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 1227212985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621971905280).

1227212985600 is an abundant number, since it is smaller than the sum of its proper divisors (4016730824960).

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

1227212985600 is an equidigital number, since it uses as much as digits as its factorization.

1227212985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1227212985600 in words is "one trillion, two hundred twenty-seven billion, two hundred twelve million, nine hundred eighty-five thousand, six hundred".