151212000 has 96 divisors (see below), whose sum is σ = 495409824. Its totient is φ = 40320000.

The previous prime is 151211993. The next prime is 151212029. The reversal of 151212000 is 212151.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5700 + ... + 18300.

It is an arithmetic number, because the mean of its divisors is an integer number (5160519).

Almost surely, 2^151212000 is an apocalyptic number.

151212000 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 151212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247704912).

151212000 is an abundant number, since it is smaller than the sum of its proper divisors (344197824).

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

151212000 is a wasteful number, since it uses less digits than its factorization.

151212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12629 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 151212000 is about 12296.8288595068. The cubic root of 151212000 is about 532.7564943870.

Adding to 151212000 its reverse (212151), we get a palindrome (151424151).

The spelling of 151212000 in words is "one hundred fifty-one million, two hundred twelve thousand".