511211024120000 has 140 divisors (see below), whose sum is σ = 1268678925258360. Its totient is φ = 204316366848000.

The previous prime is 511211024119987. The next prime is 511211024120011. The reversal of 511211024120000 is 21420112115.

It is a super-2 number, since 2×511211024120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43429271 + ... + 53930729.

It is an arithmetic number, because the mean of its divisors is an integer number (9061992323274).

Almost surely, 2^{511211024120000} is an apocalyptic number.

511211024120000 is a gapful number since it is divisible by the number (50) 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 511211024120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634339462629180).

511211024120000 is an abundant number, since it is smaller than the sum of its proper divisors (757467901138360).

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

511211024120000 is a wasteful number, since it uses less digits than its factorization.

511211024120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502708 (or 10502683 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 511211024120000 its reverse (21420112115), we get a palindrome (511232444232115).

The spelling of 511211024120000 in words is "five hundred eleven trillion, two hundred eleven billion, twenty-four million, one hundred twenty thousand".