4122122141000 has 128 divisors (see below), whose sum is σ = 10303550580960. Its totient is φ = 1538123776000.

The previous prime is 4122122140937. The next prime is 4122122141021. The reversal of 4122122141000 is 1412212214.

4122122141000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1953671516644 + 2168450624356 = 1397738^2 + 1472566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 848090 + ... + 2993910.

Almost surely, 2^{4122122141000} is an apocalyptic number.

4122122141000 is a gapful number since it is divisible by the number (40) 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 4122122141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151775290480).

4122122141000 is an abundant number, since it is smaller than the sum of its proper divisors (6181428439960).

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

4122122141000 is a wasteful number, since it uses less digits than its factorization.

4122122141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145972 (or 2145958 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4122122141000 its reverse (1412212214), we get a palindrome (4123534353214).

The spelling of 4122122141000 in words is "four trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred forty-one thousand".