121540611360 has 288 divisors, whose sum is σ = 446361414912. Its totient is φ = 27718225920.

The previous prime is 121540611343. The next prime is 121540611431. The reversal of 121540611360 is 63116045121.

It is a happy number.

It is a super-2 number, since 2×121540611360² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10884180 + ... + 10895340.

It is an arithmetic number, because the mean of its divisors is an integer number (1549866024).

Almost surely, 2^121540611360 is an apocalyptic number.

121540611360 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 121540611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223180707456).

121540611360 is an abundant number, since it is smaller than the sum of its proper divisors (324820803552).

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

121540611360 is a wasteful number, since it uses less digits than its factorization.

121540611360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11641 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 121540611360 its reverse (63116045121), we get a palindrome (184656656481).

The spelling of 121540611360 in words is "one hundred twenty-one billion, five hundred forty million, six hundred eleven thousand, three hundred sixty".