1211416197120 has 1152 divisors, whose sum is σ = 4631148587520. Its totient is φ = 303057469440.

The previous prime is 1211416197113. The next prime is 1211416197139. The reversal of 1211416197120 is 217916141121.

1211416197120 is a `hidden beast` number, since 1 + 2 + 1 + 14 + 1 + 619 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1211416197120³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3491112787 + ... + 3491113133.

It is an arithmetic number, because the mean of its divisors is an integer number (4020094260).

Almost surely, 2^{1211416197120} is an apocalyptic number.

1211416197120 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 1211416197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315574293760).

1211416197120 is an abundant number, since it is smaller than the sum of its proper divisors (3419732390400).

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

1211416197120 is an equidigital number, since it uses as much as digits as its factorization.

1211416197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1211416197120 in words is "one trillion, two hundred eleven billion, four hundred sixteen million, one hundred ninety-seven thousand, one hundred twenty".