122034000 has 240 divisors, whose sum is σ = 439418304. Its totient is φ = 28896000.

The previous prime is 122033981. The next prime is 122034013. The reversal of 122034000 is 430221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2837979 + ... + 2838021.

Almost surely, 2^122034000 is an apocalyptic number.

122034000 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 122034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219709152).

122034000 is an abundant number, since it is smaller than the sum of its proper divisors (317384304).

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

122034000 is a wasteful number, since it uses less digits than its factorization.

122034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 122034000 is about 11046.9000176520. The cubic root of 122034000 is about 496.0136355946.

Adding to 122034000 its reverse (430221), we get a palindrome (122464221).

The spelling of 122034000 in words is "one hundred twenty-two million, thirty-four thousand".