121142319382420 has 48 divisors (see below), whose sum is σ = 292365821139840. Its totient is φ = 41302473128064.

The previous prime is 121142319382411. The next prime is 121142319382421. The reversal of 121142319382420 is 24283913241121.

It is a super-3 number, since 3×121142319382420³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121142319382421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2417020419 + ... + 2417070538.

It is an arithmetic number, because the mean of its divisors is an integer number (6090954607080).

Almost surely, 2^{121142319382420} is an apocalyptic number.

121142319382420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121142319382420 is an abundant number, since it is smaller than the sum of its proper divisors (171223501757420).

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

121142319382420 is a wasteful number, since it uses less digits than its factorization.

121142319382420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834091152 (or 4834091150 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 121142319382420 in words is "one hundred twenty-one trillion, one hundred forty-two billion, three hundred nineteen million, three hundred eighty-two thousand, four hundred twenty".