122010378000 has 320 divisors, whose sum is σ = 450278799360. Its totient is φ = 27843264000.

The previous prime is 122010377999. The next prime is 122010378001. The reversal of 122010378000 is 873010221.

It is an interprime number because it is at equal distance from previous prime (122010377999) and next prime (122010378001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122010378001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31036035 + ... + 31039965.

It is an arithmetic number, because the mean of its divisors is an integer number (1407121248).

Almost surely, 2^122010378000 is an apocalyptic number.

122010378000 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 122010378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225139399680).

122010378000 is an abundant number, since it is smaller than the sum of its proper divisors (328268421360).

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

122010378000 is a wasteful number, since it uses less digits than its factorization.

122010378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 122010378000 its reverse (873010221), we get a palindrome (122883388221).

The spelling of 122010378000 in words is "one hundred twenty-two billion, ten million, three hundred seventy-eight thousand".