1361900131200 has 384 divisors, whose sum is σ = 5696203872000. Its totient is φ = 311291320320.

The previous prime is 1361900131183. The next prime is 1361900131231. The reversal of 1361900131200 is 21310091631.

1361900131200 is a `hidden beast` number, since 1 + 361 + 90 + 0 + 13 + 1 + 200 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521110 + ... + 1730709.

It is an arithmetic number, because the mean of its divisors is an integer number (14833864250).

Almost surely, 2^{1361900131200} is an apocalyptic number.

1361900131200 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 1361900131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848101936000).

1361900131200 is an abundant number, since it is smaller than the sum of its proper divisors (4334303740800).

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

1361900131200 is a wasteful number, since it uses less digits than its factorization.

1361900131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251859 (or 2251836 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1361900131200 in words is "one trillion, three hundred sixty-one billion, nine hundred million, one hundred thirty-one thousand, two hundred".