121288687511040 has 5760 divisors, whose sum is σ = 575097751388160. Its totient is φ = 24271606775808.

The previous prime is 121288687511011. The next prime is 121288687511071. The reversal of 121288687511040 is 40115786882121.

121288687511040 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 8 + 8 + 6 + 87 + 511 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 955029035457 + ... + 955029035583.

It is an arithmetic number, because the mean of its divisors is an integer number (99843359616).

Almost surely, 2^{121288687511040} is an apocalyptic number.

121288687511040 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 121288687511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287548875694080).

121288687511040 is an abundant number, since it is smaller than the sum of its proper divisors (453809063877120).

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

121288687511040 is a wasteful number, since it uses less digits than its factorization.

121288687511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 121288687511040 in words is "one hundred twenty-one trillion, two hundred eighty-eight billion, six hundred eighty-seven million, five hundred eleven thousand, forty".