121132351440 has 240 divisors, whose sum is σ = 413773808448. Its totient is φ = 31751460864.

The previous prime is 121132351421. The next prime is 121132351547. The reversal of 121132351440 is 44153231121.

121132351440 is a `hidden beast` number, since 1 + 211 + 3 + 2 + 3 + 5 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 16132167 + ... + 16139673.

Almost surely, 2^121132351440 is an apocalyptic number.

121132351440 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 121132351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206886904224).

121132351440 is an abundant number, since it is smaller than the sum of its proper divisors (292641457008).

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

121132351440 is a wasteful number, since it uses less digits than its factorization.

121132351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 121132351440 its reverse (44153231121), we get a palindrome (165285582561).

The spelling of 121132351440 in words is "one hundred twenty-one billion, one hundred thirty-two million, three hundred fifty-one thousand, four hundred forty".