201212105454400 has 168 divisors, whose sum is σ = 526320099357696. Its totient is φ = 75448642560000.

The previous prime is 201212105454337. The next prime is 201212105454401. The reversal of 201212105454400 is 4454501212102.

It is a super-2 number, since 2×201212105454400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212105454401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7908864 + ... + 21563263.

It is an arithmetic number, because the mean of its divisors is an integer number (3132857734272).

Almost surely, 2^{201212105454400} is an apocalyptic number.

201212105454400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212105454400 is an abundant number, since it is smaller than the sum of its proper divisors (325107993903296).

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

201212105454400 is a wasteful number, since it uses less digits than its factorization.

201212105454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29472417 (or 29472402 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 201212105454400 its reverse (4454501212102), we get a palindrome (205666606666502).

The spelling of 201212105454400 in words is "two hundred one trillion, two hundred twelve billion, one hundred five million, four hundred fifty-four thousand, four hundred".