621120906000 has 1280 divisors, whose sum is σ = 2696398848000. Its totient is φ = 133510809600.

The previous prime is 621120905927. The next prime is 621120906023. The reversal of 621120906000 is 609021126.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1414853781 + ... + 1414854219.

It is an arithmetic number, because the mean of its divisors is an integer number (2106561600).

Almost surely, 2^621120906000 is an apocalyptic number.

621120906000 is a gapful number since it is divisible by the number (60) 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 621120906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348199424000).

621120906000 is an abundant number, since it is smaller than the sum of its proper divisors (2075277942000).

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

621120906000 is a wasteful number, since it uses less digits than its factorization.

621120906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 621120906000 its reverse (609021126), we get a palindrome (621729927126).

The spelling of 621120906000 in words is "six hundred twenty-one billion, one hundred twenty million, nine hundred six thousand".