122513000 has 64 divisors (see below), whose sum is σ = 289757520. Its totient is φ = 48480000.

The previous prime is 122512993. The next prime is 122513003. The reversal of 122513000 is 315221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4008004 + 118504996 = 2002^2 + 10886^2 .

It is not an unprimeable number, because it can be changed into a prime (122513003) 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, 100394 + ... + 101606.

Almost surely, 2^122513000 is an apocalyptic number.

122513000 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 122513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144878760).

122513000 is an abundant number, since it is smaller than the sum of its proper divisors (167244520).

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

122513000 is a wasteful number, since it uses less digits than its factorization.

122513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 122513000 is about 11068.5590751461. The cubic root of 122513000 is about 496.6617619343.

Adding to 122513000 its reverse (315221), we get a palindrome (122828221).

It can be divided in two parts, 12251 and 3000, that added together give a palindrome (15251).

The spelling of 122513000 in words is "one hundred twenty-two million, five hundred thirteen thousand".