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1122312120000 = 26354173714869
BaseRepresentation
bin10000010101001111000…
…000111110011011000000
310222021212212020220100120
4100111033000332123000
5121341443400320000
62215325535420240
7144040640422041
oct20251700763300
93867785226316
101122312120000
113a2a73a29a95
12161618084680
1381aab4ac846
143c46a8948c8
151e2d96d46a0
hex1054f03e6c0

1122312120000 has 560 divisors, whose sum is σ = 4035355647840. Its totient is φ = 274046976000.

The previous prime is 1122312119969. The next prime is 1122312120001. The reversal of 1122312120000 is 212132211.

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

It is not an unprimeable number, because it can be changed into a prime (1122312120001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 75472566 + ... + 75487434.

Almost surely, 21122312120000 is an apocalyptic number.

1122312120000 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 1122312120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017677823920).

1122312120000 is an abundant number, since it is smaller than the sum of its proper divisors (2913043527840).

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

1122312120000 is a wasteful number, since it uses less digits than its factorization.

1122312120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958 (or 14933 counting only the distinct ones).

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

Adding to 1122312120000 its reverse (212132211), we get a palindrome (1122524252211).

The spelling of 1122312120000 in words is "one trillion, one hundred twenty-two billion, three hundred twelve million, one hundred twenty thousand".