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1213001322000 = 2435313124912451
BaseRepresentation
bin10001101001101100100…
…000110100111000010000
311021221222010222200212220
4101221230200310320100
5124333211314301000
62325124540021040
7153431206054626
oct21515440647020
94257863880786
101213001322000
11428481694806
12177107831780
138a502030350
14429d1119516
15218462ee1a0
hex11a6c834e10

1213001322000 has 320 divisors, whose sum is σ = 4215251040000. Its totient is φ = 298321920000.

The previous prime is 1213001321989. The next prime is 1213001322011. The reversal of 1213001322000 is 2231003121.

It is an interprime number because it is at equal distance from previous prime (1213001321989) and next prime (1213001322011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97415775 + ... + 97428225.

It is an arithmetic number, because the mean of its divisors is an integer number (13172659500).

Almost surely, 21213001322000 is an apocalyptic number.

1213001322000 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 1213001322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107625520000).

1213001322000 is an abundant number, since it is smaller than the sum of its proper divisors (3002249718000).

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

1213001322000 is a wasteful number, since it uses less digits than its factorization.

1213001322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13739 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1213001322000 its reverse (2231003121), we get a palindrome (1215232325121).

The spelling of 1213001322000 in words is "one trillion, two hundred thirteen billion, one million, three hundred twenty-two thousand".