122013322101000 has 384 divisors, whose sum is σ = 450019437154560. Its totient is φ = 29570897664000.

The previous prime is 122013322100939. The next prime is 122013322101043. The reversal of 122013322101000 is 101223310221.

122013322101000 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 332 + 210 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365836317 + ... + 366169683.

It is an arithmetic number, because the mean of its divisors is an integer number (1171925617590).

Almost surely, 2^{122013322101000} is an apocalyptic number.

122013322101000 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 122013322101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225009718577280).

122013322101000 is an abundant number, since it is smaller than the sum of its proper divisors (328006115053560).

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

122013322101000 is a wasteful number, since it uses less digits than its factorization.

122013322101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337102 (or 337085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122013322101000 its reverse (101223310221), we get a palindrome (122114545411221).

The spelling of 122013322101000 in words is "one hundred twenty-two trillion, thirteen billion, three hundred twenty-two million, one hundred one thousand".