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1133212200120 = 23325711133784991
BaseRepresentation
bin10000011111011000101…
…101011110110010111000
311000100000111200100021200
4100133120231132302320
5122031304310400440
62224331314134200
7144605024525220
oct20373055366270
94010014610250
101133212200120
113a7657820570
1216375a581360
1382b277c0cb0
143cbc2395080
151e7265d7c30
hex107d8b5ecb8

1133212200120 has 768 divisors, whose sum is σ = 5078632366080. Its totient is φ = 211482316800.

The previous prime is 1133212200101. The next prime is 1133212200209. The reversal of 1133212200120 is 210022123311.

1133212200120 is a `hidden beast` number, since 1 + 1 + 3 + 321 + 220 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1133212200093 and 1133212200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13290825 + ... + 13375815.

It is an arithmetic number, because the mean of its divisors is an integer number (6612802560).

Almost surely, 21133212200120 is an apocalyptic number.

1133212200120 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 1133212200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539316183040).

1133212200120 is an abundant number, since it is smaller than the sum of its proper divisors (3945420165960).

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

1133212200120 is a wasteful number, since it uses less digits than its factorization.

1133212200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85076 (or 85069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1133212200120 its reverse (210022123311), we get a palindrome (1343234323431).

It can be divided in two parts, 113321 and 2200120, that added together give a 4-th power (2313441 = 394).

The spelling of 1133212200120 in words is "one trillion, one hundred thirty-three billion, two hundred twelve million, two hundred thousand, one hundred twenty".