121141692 has 72 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 34511904.

The previous prime is 121141639. The next prime is 121141717. The reversal of 121141692 is 296141121.

It is a super-3 number, since 3×121141692³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162673 + ... + 163415.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^121141692 is an apocalyptic number.

121141692 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 121141692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

121141692 is an abundant number, since it is smaller than the sum of its proper divisors (229835844).

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

121141692 is a wasteful number, since it uses less digits than its factorization.

121141692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1402 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 121141692 is about 11006.4386610747. The cubic root of 121141692 is about 494.8017326566.

The spelling of 121141692 in words is "one hundred twenty-one million, one hundred forty-one thousand, six hundred ninety-two".