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122011230000 = 2435411369731
BaseRepresentation
bin111000110100001101…
…1111001111100110000
3102122221011122200101110
41301220123321330300
53444334333330000
6132015020033320
711546360225502
oct1615033717460
9378834580343
10122011230000
1147821181a80
121b791392840
13b675a940aa
145c964c5d72
153291835850
hex1c686f9f30

122011230000 has 200 divisors, whose sum is σ = 429675909696. Its totient is φ = 29578400000.

The previous prime is 122011229969. The next prime is 122011230037. The reversal of 122011230000 is 32110221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1220112300002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145135 + ... + 514865.

Almost surely, 2122011230000 is an apocalyptic number.

122011230000 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 122011230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214837954848).

122011230000 is an abundant number, since it is smaller than the sum of its proper divisors (307664679696).

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

122011230000 is a wasteful number, since it uses less digits than its factorization.

122011230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369773 (or 369752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122011230000 its reverse (32110221), we get a palindrome (122043340221).

The spelling of 122011230000 in words is "one hundred twenty-two billion, eleven million, two hundred thirty thousand".