51234755121000 has 1280 divisors, whose sum is σ = 207661852569600. Its totient is φ = 11652196032000.

The previous prime is 51234755120993. The next prime is 51234755121007. The reversal of 51234755121000 is 12155743215.

51234755121000 is a `hidden beast` number, since 5 + 1 + 2 + 34 + 7 + 5 + 512 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51234755120993) and next prime (51234755121007).

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

It is not an unprimeable number, because it can be changed into a prime (51234755121007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1743672309 + ... + 1743701691.

It is an arithmetic number, because the mean of its divisors is an integer number (162235822320).

Almost surely, 2^{51234755121000} is an apocalyptic number.

51234755121000 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 51234755121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103830926284800).

51234755121000 is an abundant number, since it is smaller than the sum of its proper divisors (156427097448600).

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

51234755121000 is a wasteful number, since it uses less digits than its factorization.

51234755121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29549 (or 29526 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 51234755121000 in words is "fifty-one trillion, two hundred thirty-four billion, seven hundred fifty-five million, one hundred twenty-one thousand".