121419396480 has 384 divisors, whose sum is σ = 414607380480. Its totient is φ = 30216388608.

The previous prime is 121419396473. The next prime is 121419396481. The reversal of 121419396480 is 84693914121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121419396481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70468899 + ... + 70470621.

It is an arithmetic number, because the mean of its divisors is an integer number (1079706720).

Almost surely, 2^121419396480 is an apocalyptic number.

121419396480 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 121419396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207303690240).

121419396480 is an abundant number, since it is smaller than the sum of its proper divisors (293187984000).

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

121419396480 is a wasteful number, since it uses less digits than its factorization.

121419396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 121419396480 in words is "one hundred twenty-one billion, four hundred nineteen million, three hundred ninety-six thousand, four hundred eighty".