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1120220001120 = 2535112359156347
BaseRepresentation
bin10000010011010010010…
…100001011001101100000
310222002111001120020210010
4100103102110023031200
5121323202310013440
62214342202204520
7143635044621063
oct20232224131540
93862431506703
101120220001120
113a209aa94120
121611334b3740
1381836c20c8c
143c30ca9a8da
151e215bc7580
hex104d250b360

1120220001120 has 384 divisors, whose sum is σ = 4084960481280. Its totient is φ = 255356794880.

The previous prime is 1120220001083. The next prime is 1120220001133. The reversal of 1120220001120 is 211000220211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120220001096 and 1120220001105.

It is a congruent number.

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, 7086787 + ... + 7243133.

It is an arithmetic number, because the mean of its divisors is an integer number (10637917920).

Almost surely, 21120220001120 is an apocalyptic number.

1120220001120 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 1120220001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042480240640).

1120220001120 is an abundant number, since it is smaller than the sum of its proper divisors (2964740480160).

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

1120220001120 is a wasteful number, since it uses less digits than its factorization.

1120220001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156458 (or 156450 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1120220001120 its reverse (211000220211), we get a palindrome (1331220221331).

The spelling of 1120220001120 in words is "one trillion, one hundred twenty billion, two hundred twenty million, one thousand, one hundred twenty".