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1215214000000 = 275671113607
BaseRepresentation
bin10001101011110000011…
…001100001011110000000
311022011200100112101110221
4101223300121201132000
5124402224241000000
62330132301232424
7153540064366120
oct21536031413600
94264610471427
101215214000000
11429407693510
12177624862714
138a795580480
1442b60d36c80
15219256c261a
hex11af0661780

1215214000000 has 896 divisors, whose sum is σ = 4069747906560. Its totient is φ = 349056000000.

The previous prime is 1215213999991. The next prime is 1215214000019. The reversal of 1215214000000 is 4125121.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2001999697 + ... + 2002000303.

It is an arithmetic number, because the mean of its divisors is an integer number (4542129360).

Almost surely, 21215214000000 is an apocalyptic number.

1215214000000 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 1215214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034873953280).

1215214000000 is an abundant number, since it is smaller than the sum of its proper divisors (2854533906560).

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

1215214000000 is an frugal number, since it uses more digits than its factorization.

1215214000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 1215214000000 its reverse (4125121), we get a palindrome (1215218125121).

The spelling of 1215214000000 in words is "one trillion, two hundred fifteen billion, two hundred fourteen million", and thus it is an aban number.