121289171952 has 240 divisors, whose sum is σ = 344200969728. Its totient is φ = 36783452160.

The previous prime is 121289171903. The next prime is 121289171959. The reversal of 121289171952 is 259171982121.

It is a super-2 number, since 2×121289171952² (a number of 23 digits) contains 22 as substring.

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 (121289171959) 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, 281413177 + ... + 281413607.

Almost surely, 2^121289171952 is an apocalyptic number.

121289171952 is a gapful number since it is divisible by the number (12) 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 121289171952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172100484864).

121289171952 is an abundant number, since it is smaller than the sum of its proper divisors (222911797776).

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

121289171952 is a wasteful number, since it uses less digits than its factorization.

121289171952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 869 counting only the distinct ones).

The product of its digits is 181440, while the sum is 48.

The spelling of 121289171952 in words is "one hundred twenty-one billion, two hundred eighty-nine million, one hundred seventy-one thousand, nine hundred fifty-two".