12015200150400 has 384 divisors, whose sum is σ = 40964852367360. Its totient is φ = 3092898816000.

The previous prime is 12015200150389. The next prime is 12015200150467. The reversal of 12015200150400 is 405100251021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44977225 + ... + 45243575.

It is an arithmetic number, because the mean of its divisors is an integer number (106679303040).

Almost surely, 2^{12015200150400} is an apocalyptic number.

12015200150400 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 12015200150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482426183680).

12015200150400 is an abundant number, since it is smaller than the sum of its proper divisors (28949652216960).

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

12015200150400 is a wasteful number, since it uses less digits than its factorization.

12015200150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266542 (or 266525 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 12015200150400 in words is "twelve trillion, fifteen billion, two hundred million, one hundred fifty thousand, four hundred".