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1011121200000 = 273255377591
BaseRepresentation
bin11101011011010111000…
…01010001101110000000
310120122212202220220212100
432231223201101232000
5113031234011400000
62052300324230400
7133023345251442
oct16555341215600
93518782826770
101011121200000
1135a8a561507a
12143b6653b400
137446b34a362
1436d1d466492
151b47cc96a00
hexeb6b851b80

1011121200000 has 576 divisors, whose sum is σ = 3735558721440. Its totient is φ = 262310400000.

The previous prime is 1011121199983. The next prime is 1011121200017. The reversal of 1011121200000 is 21211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011121199983) and next prime (1011121200017).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 133196205 + ... + 133203795.

Almost surely, 21011121200000 is an apocalyptic number.

1011121200000 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 1011121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867779360720).

1011121200000 is an abundant number, since it is smaller than the sum of its proper divisors (2724437521440).

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

1011121200000 is an frugal number, since it uses more digits than its factorization.

1011121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011121200000 its reverse (21211101), we get a palindrome (1011142411101).

It can be divided in two parts, 1011121 and 200000, that added together give a palindrome (1211121).

The spelling of 1011121200000 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred thousand".