121267148587200 has 6720 divisors, whose sum is σ = 612603565719552. Its totient is φ = 22764345753600.

The previous prime is 121267148587139. The next prime is 121267148587261. The reversal of 121267148587200 is 2785841762121.

121267148587200 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 67 + 1 + 485 + 87 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121267148587139) and next prime (121267148587261).

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 534216513487 + ... + 534216513713.

Almost surely, 2^{121267148587200} is an apocalyptic number.

121267148587200 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 121267148587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306301782859776).

121267148587200 is an abundant number, since it is smaller than the sum of its proper divisors (491336417132352).

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

121267148587200 is a wasteful number, since it uses less digits than its factorization.

121267148587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 121267148587200 in words is "one hundred twenty-one trillion, two hundred sixty-seven billion, one hundred forty-eight million, five hundred eighty-seven thousand, two hundred".