121059671040 has 1760 divisors, whose sum is σ = 575236214784. Its totient is φ = 23569367040.

The previous prime is 121059671017. The next prime is 121059671069. The reversal of 121059671040 is 40176950121.

121059671040 is a `hidden beast` number, since 1 + 2 + 10 + 596 + 7 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121059670986 and 121059671004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 542868369 + ... + 542868591.

Almost surely, 2^121059671040 is an apocalyptic number.

121059671040 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 121059671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287618107392).

121059671040 is an abundant number, since it is smaller than the sum of its proper divisors (454176543744).

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

121059671040 is a wasteful number, since it uses less digits than its factorization.

121059671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 121059671040 in words is "one hundred twenty-one billion, fifty-nine million, six hundred seventy-one thousand, forty".