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11200001111220 = 22351361137154067
BaseRepresentation
bin1010001011111011010000…
…0101100111010010110100
31110122201011100000211010010
42202332310011213102310
52432000100241024340
635453113125300220
72234113316446125
oct242766405472264
943581140024103
1011200001111220
113628991709a79
12130a775864670
13633203a41c4c
142aa12386604c
1514650ec9cb80
hexa2fb41674b4

11200001111220 has 48 divisors (see below), whose sum is σ = 31383045223488. Its totient is φ = 2984472476160.

The previous prime is 11200001111171. The next prime is 11200001111249. The reversal of 11200001111220 is 2211110000211.

11200001111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11200001111196 and 11200001111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68495374 + ... + 68658693.

It is an arithmetic number, because the mean of its divisors is an integer number (653813442156).

Almost surely, 211200001111220 is an apocalyptic number.

11200001111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200001111220 is an abundant number, since it is smaller than the sum of its proper divisors (20183044112268).

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

11200001111220 is a wasteful number, since it uses less digits than its factorization.

11200001111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137155440 (or 137155438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200001111220 its reverse (2211110000211), we get a palindrome (13411111111431).

The spelling of 11200001111220 in words is "eleven trillion, two hundred billion, one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1361 2722 4083 5444 6805 8166 13610 16332 20415 27220 40830 81660 137154067 274308134 411462201 548616268 685770335 822924402 1371540670 1645848804 2057311005 2743081340 4114622010 8229244020 186666685187 373333370374 560000055561 746666740748 933333425935 1120000111122 1866666851870 2240000222244 2800000277805 3733333703740 5600000555610 11200001111220