612121536000 has 1600 divisors, whose sum is σ = 2543378213376. Its totient is φ = 145317888000.

The previous prime is 612121535999. The next prime is 612121536007. The reversal of 612121536000 is 635121216.

612121536000 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 2 + 1 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612121536007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2089151854 + ... + 2089152146.

Almost surely, 2^612121536000 is an apocalyptic number.

612121536000 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 612121536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271689106688).

612121536000 is an abundant number, since it is smaller than the sum of its proper divisors (1931256677376).

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

612121536000 is a wasteful number, since it uses less digits than its factorization.

612121536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 612121536000 its reverse (635121216), we get a palindrome (612756657216).

The spelling of 612121536000 in words is "six hundred twelve billion, one hundred twenty-one million, five hundred thirty-six thousand".