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1012312212000 = 25353109773939
BaseRepresentation
bin11101011101100101000…
…00101000001000100000
310120202221210000121011220
432232302200220020200
5113041203411241000
62053014431535040
7133065016553565
oct16566240501040
93522853017156
101012312212000
11360356942011
1214423938a480
13745cb01579b
1436dd36d686c
151b4ec6091a0
hexebb2828220

1012312212000 has 192 divisors, whose sum is σ = 3346764220800. Its totient is φ = 267472972800.

The previous prime is 1012312211983. The next prime is 1012312212017. The reversal of 1012312212000 is 2122132101.

It is an interprime number because it is at equal distance from previous prime (1012312211983) and next prime (1012312212017).

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 31 ways as a sum of consecutive naturals, for example, 921031 + ... + 1694969.

It is an arithmetic number, because the mean of its divisors is an integer number (17431063650).

Almost surely, 21012312212000 is an apocalyptic number.

1012312212000 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 1012312212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673382110400).

1012312212000 is an abundant number, since it is smaller than the sum of its proper divisors (2334452008800).

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

1012312212000 is a wasteful number, since it uses less digits than its factorization.

1012312212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774076 (or 774058 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1012312212000 its reverse (2122132101), we get a palindrome (1014434344101).

The spelling of 1012312212000 in words is "one trillion, twelve billion, three hundred twelve million, two hundred twelve thousand".