54015122000 has 320 divisors, whose sum is σ = 154235128320. Its totient is φ = 17911296000.

The previous prime is 54015121999. The next prime is 54015122027. The reversal of 54015122000 is 22151045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79785662 + ... + 79786338.

It is an arithmetic number, because the mean of its divisors is an integer number (481984776).

Almost surely, 2^54015122000 is an apocalyptic number.

54015122000 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 54015122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77117564160).

54015122000 is an abundant number, since it is smaller than the sum of its proper divisors (100220006320).

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

54015122000 is a wasteful number, since it uses less digits than its factorization.

54015122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 54015122000 its reverse (22151045), we get a palindrome (54037273045).

The spelling of 54015122000 in words is "fifty-four billion, fifteen million, one hundred twenty-two thousand".