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12200137407888 = 24319114641116689
BaseRepresentation
bin1011000110001001000011…
…0110110011110110010000
31121012022200112220211110220
42301202100312303312100
53044341340134023023
641540355445153040
72366300530632423
oct261422066636620
947168615824426
1012200137407888
11398405a567641
1214505753bb780
136a661131c2b1
143026c002b9ba
151625484883e3
hexb1890db3d90

12200137407888 has 80 divisors (see below), whose sum is σ = 33176385950400. Its totient is φ = 3852608348160.

The previous prime is 12200137407877. The next prime is 12200137407949. The reversal of 12200137407888 is 88870473100221.

It is a self number, because there is not a number n which added to its sum of digits gives 12200137407888.

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, 104494248 + ... + 104610936.

It is an arithmetic number, because the mean of its divisors is an integer number (414704824380).

Almost surely, 212200137407888 is an apocalyptic number.

It is an amenable number.

12200137407888 is an abundant number, since it is smaller than the sum of its proper divisors (20976248542512).

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

12200137407888 is a wasteful number, since it uses less digits than its factorization.

12200137407888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231360 (or 231354 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 12200137407888 in words is "twelve trillion, two hundred billion, one hundred thirty-seven million, four hundred seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 114641 116689 229282 233378 343923 350067 458564 466756 687846 700134 917128 933512 1375692 1400268 1834256 1867024 2178179 2217091 2751384 2800536 4356358 4434182 5502768 5601072 6534537 6651273 8712716 8868364 13069074 13302546 17425432 17736728 26138148 26605092 34850864 35473456 52276296 53210184 104552592 106420368 13377343649 26754687298 40132030947 53509374596 80264061894 107018749192 160528123788 214037498384 254169529331 321056247576 508339058662 642112495152 762508587993 1016678117324 1525017175986 2033356234648 3050034351972 4066712469296 6100068703944 12200137407888