121157898301440 has 5824 divisors, whose sum is σ = 598930390582272. Its totient is φ = 22892225495040.

The previous prime is 121157898301403. The next prime is 121157898301459. The reversal of 121157898301440 is 44103898751121.

121157898301440 is a `hidden beast` number, since 1 + 2 + 1 + 15 + 78 + 98 + 30 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (5824).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1808326840287 + ... + 1808326840353.

Almost surely, 2^{121157898301440} is an apocalyptic number.

121157898301440 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 121157898301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299465195291136).

121157898301440 is an abundant number, since it is smaller than the sum of its proper divisors (477772492280832).

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

121157898301440 is an frugal number, since it uses more digits than its factorization.

121157898301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 121157898301440 in words is "one hundred twenty-one trillion, one hundred fifty-seven billion, eight hundred ninety-eight million, three hundred one thousand, four hundred forty".