11208201147000 has 512 divisors, whose sum is σ = 45647962214400. Its totient is φ = 2508128064000.

The previous prime is 11208201146977. The next prime is 11208201147019. The reversal of 11208201147000 is 74110280211.

11208201147000 is a `hidden beast` number, since 112 + 0 + 82 + 0 + 1 + 1 + 470 + 0 + 0 = 666.

It is a super-2 number, since 2×11208201147000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2409537 + ... + 5312463.

It is an arithmetic number, because the mean of its divisors is an integer number (89156176200).

Almost surely, 2^{11208201147000} is an apocalyptic number.

11208201147000 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 11208201147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823981107200).

11208201147000 is an abundant number, since it is smaller than the sum of its proper divisors (34439761067400).

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

11208201147000 is a wasteful number, since it uses less digits than its factorization.

11208201147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902981 (or 2902961 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11208201147000 in words is "eleven trillion, two hundred eight billion, two hundred one million, one hundred forty-seven thousand".