601121102400 has 1701 divisors, whose sum is σ = 2729672253243. Its totient is φ = 125043609600.

The previous prime is 601121102363. The next prime is 601121102419. The reversal of 601121102400 is 4201121106.

The square root of 601121102400 is 775320.

It is a perfect power (a square), and thus also a powerful number.

601121102400 is a `hidden beast` number, since 601 + 1 + 21 + 1 + 0 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154939853376 + 446181249024 = 393624^2 + 667968^2 .

It is a super-2 number, since 2×601121102400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8466494365 + ... + 8466494435.

Almost surely, 2^601121102400 is an apocalyptic number.

601121102400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

601121102400 is the 775320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601121102400

601121102400 is an abundant number, since it is smaller than the sum of its proper divisors (2128551150843).

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

601121102400 is a wasteful number, since it uses less digits than its factorization.

601121102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 601121102400 its reverse (4201121106), we get a palindrome (605322223506).

The spelling of 601121102400 in words is "six hundred one billion, one hundred twenty-one million, one hundred two thousand, four hundred".