1211098678920 has 768 divisors, whose sum is σ = 4646489702400. Its totient is φ = 270738063360.

The previous prime is 1211098678849. The next prime is 1211098678957. The reversal of 1211098678920 is 298768901121.

It is a happy number.

It is a super-3 number, since 3×1211098678920³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1403358409 + ... + 1403359271.

It is an arithmetic number, because the mean of its divisors is an integer number (6050116800).

Almost surely, 2^{1211098678920} is an apocalyptic number.

1211098678920 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 1211098678920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323244851200).

1211098678920 is an abundant number, since it is smaller than the sum of its proper divisors (3435391023480).

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

1211098678920 is a wasteful number, since it uses less digits than its factorization.

1211098678920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1211098678920 in words is "one trillion, two hundred eleven billion, ninety-eight million, six hundred seventy-eight thousand, nine hundred twenty".