121146531000 has 192 divisors, whose sum is σ = 415463761440. Its totient is φ = 29368768000.

The previous prime is 121146530951. The next prime is 121146531013. The reversal of 121146531000 is 135641121.

It is a happy number.

It is a super-2 number, since 2×121146531000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196132 + ... + 529868.

Almost surely, 2^121146531000 is an apocalyptic number.

121146531000 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 121146531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207731880720).

121146531000 is an abundant number, since it is smaller than the sum of its proper divisors (294317230440).

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

121146531000 is a wasteful number, since it uses less digits than its factorization.

121146531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333783 (or 333758 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 121146531000 in words is "one hundred twenty-one billion, one hundred forty-six million, five hundred thirty-one thousand".