121288371610000 has 225 divisors, whose sum is σ = 341616055401621. Its totient is φ = 41581941408000.

The previous prime is 121288371609973. The next prime is 121288371610009. The reversal of 121288371610000 is 16173882121.

The square root of 121288371610000 is 11013100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 121046732511376 + 241639098624 = 11002124^2 + 491568^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (121288371610009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7709162134 + ... + 7709177866.

Almost surely, 2^{121288371610000} is an apocalyptic number.

121288371610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121288371610000 is the 11013100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121288371610000

121288371610000 is an abundant number, since it is smaller than the sum of its proper divisors (220327683791621).

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

121288371610000 is an frugal number, since it uses more digits than its factorization.

121288371610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31508 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 121288371610000 in words is "one hundred twenty-one trillion, two hundred eighty-eight billion, three hundred seventy-one million, six hundred ten thousand".