121161137111040 has 480 divisors, whose sum is σ = 417745774184256. Its totient is φ = 29808666869760.

The previous prime is 121161137111029. The next prime is 121161137111057. The reversal of 121161137111040 is 40111731161121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×121161137111040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121161137110989 and 121161137111007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6840229224 + ... + 6840246936.

Almost surely, 2^{121161137111040} is an apocalyptic number.

121161137111040 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 121161137111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208872887092128).

121161137111040 is an abundant number, since it is smaller than the sum of its proper divisors (296584637073216).

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

121161137111040 is a wasteful number, since it uses less digits than its factorization.

121161137111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19903 (or 19877 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 30.

Adding to 121161137111040 its reverse (40111731161121), we get a palindrome (161272868272161).

The spelling of 121161137111040 in words is "one hundred twenty-one trillion, one hundred sixty-one billion, one hundred thirty-seven million, one hundred eleven thousand, forty".