10061200512000 has 1760 divisors, whose sum is σ = 41797074249216. Its totient is φ = 2385911808000.

The previous prime is 10061200511987. The next prime is 10061200512061. The reversal of 10061200512000 is 21500216001.

10061200512000 is a `hidden beast` number, since 1 + 0 + 0 + 612 + 0 + 0 + 51 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5360255062 + ... + 5360256938.

Almost surely, 2^{10061200512000} is an apocalyptic number.

10061200512000 is a gapful number since it is divisible by the number (10) 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 10061200512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20898537124608).

10061200512000 is an abundant number, since it is smaller than the sum of its proper divisors (31735873737216).

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

10061200512000 is a wasteful number, since it uses less digits than its factorization.

10061200512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10061200512000 its reverse (21500216001), we get a palindrome (10082700728001).

The spelling of 10061200512000 in words is "ten trillion, sixty-one billion, two hundred million, five hundred twelve thousand".