121212131040 has 1728 divisors, whose sum is σ = 581053217472. Its totient is φ = 22605004800.

The previous prime is 121212131039. The next prime is 121212131059. The reversal of 121212131040 is 40131212121.

It is a super-2 number, since 2×121212131040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 413693134 + ... + 413693426.

It is an arithmetic number, because the mean of its divisors is an integer number (336257649).

Almost surely, 2^121212131040 is an apocalyptic number.

121212131040 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 121212131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290526608736).

121212131040 is an abundant number, since it is smaller than the sum of its proper divisors (459841086432).

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

121212131040 is a wasteful number, since it uses less digits than its factorization.

121212131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121212131040 its reverse (40131212121), we get a palindrome (161343343161).

It can be divided in two parts, 121212 and 131040, that added together give a palindrome (252252).

The spelling of 121212131040 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred thirty-one thousand, forty".