121248267252 has 192 divisors, whose sum is σ = 336553857024. Its totient is φ = 33253908480.

The previous prime is 121248267241. The next prime is 121248267353. The reversal of 121248267252 is 252762842121.

It is a super-2 number, since 2×121248267252² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78578793 + ... + 78580335.

It is an arithmetic number, because the mean of its divisors is an integer number (1752884672).

Almost surely, 2^121248267252 is an apocalyptic number.

121248267252 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 121248267252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168276928512).

121248267252 is an abundant number, since it is smaller than the sum of its proper divisors (215305589772).

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

121248267252 is a wasteful number, since it uses less digits than its factorization.

121248267252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 121248267252 in words is "one hundred twenty-one billion, two hundred forty-eight million, two hundred sixty-seven thousand, two hundred fifty-two".