121183466040 has 1536 divisors, whose sum is σ = 544223232000. Its totient is φ = 23702740992.

The previous prime is 121183466029. The next prime is 121183466057. The reversal of 121183466040 is 40664381121.

121183466040 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 8 + 3 + 46 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121183465986 and 121183466004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 954200457 + ... + 954200583.

It is an arithmetic number, because the mean of its divisors is an integer number (354312000).

Almost surely, 2^121183466040 is an apocalyptic number.

121183466040 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 121183466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272111616000).

121183466040 is an abundant number, since it is smaller than the sum of its proper divisors (423039765960).

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

121183466040 is a wasteful number, since it uses less digits than its factorization.

121183466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121183466040 in words is "one hundred twenty-one billion, one hundred eighty-three million, four hundred sixty-six thousand, forty".