107212800000 has 384 divisors, whose sum is σ = 358371594000. Its totient is φ = 28508160000.

The previous prime is 107212799999. The next prime is 107212800017. The reversal of 107212800000 is 8212701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×107212800000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107212800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307199826 + ... + 307200174.

Almost surely, 2^107212800000 is an apocalyptic number.

107212800000 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 107212800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179185797000).

107212800000 is an abundant number, since it is smaller than the sum of its proper divisors (251158794000).

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

107212800000 is an frugal number, since it uses more digits than its factorization.

107212800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 107212800000 in words is "one hundred seven billion, two hundred twelve million, eight hundred thousand".