1412122000 has 160 divisors (see below), whose sum is σ = 3707200224. Its totient is φ = 518144000.

The previous prime is 1412121979. The next prime is 1412122031. The reversal of 1412122000 is 2212141.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1405650064 + 6471936 = 37492^2 + 2544^2 .

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, 1393494 + ... + 1394506.

Almost surely, 2^1412122000 is an apocalyptic number.

1412122000 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 1412122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853600112).

1412122000 is an abundant number, since it is smaller than the sum of its proper divisors (2295078224).

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

1412122000 is a wasteful number, since it uses less digits than its factorization.

1412122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1412122000 is about 37578.2117722491. The cubic root of 1412122000 is about 1121.9084172354.

Adding to 1412122000 its reverse (2212141), we get a palindrome (1414334141).

The spelling of 1412122000 in words is "one billion, four hundred twelve million, one hundred twenty-two thousand".