149412211200 has 1800 divisors, whose sum is σ = 685045325052. Its totient is φ = 31956664320.

The previous prime is 149412211163. The next prime is 149412211237. The reversal of 149412211200 is 2112214941.

It is a happy number.

149412211200 is a `hidden beast` number, since 1 + 49 + 412 + 2 + 1 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (149412211163) and next prime (149412211237).

It can be written as a sum of positive squares in 6 ways, for example, as 109979783424 + 39432427776 = 331632^2 + 198576^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 863654314 + ... + 863654486.

Almost surely, 2^149412211200 is an apocalyptic number.

149412211200 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 149412211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342522662526).

149412211200 is an abundant number, since it is smaller than the sum of its proper divisors (535633113852).

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

149412211200 is a wasteful number, since it uses less digits than its factorization.

149412211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 149412211200 in words is "one hundred forty-nine billion, four hundred twelve million, two hundred eleven thousand, two hundred".