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112002012022120 = 235111780922878093
BaseRepresentation
bin11001011101110110000000…
…001001000000010101101000
3112200120021202210100221112221
4121131312000021000111220
5104140020110034201440
61034113003005243424
732406610161110413
oct3135660011002550
9480507683327487
10112002012022120
1132761871999a80
121068a8a7263574
134a6598a62bc5c
141d92cd7ad8b7a
15ce3669179d4a
hex65dd80240568

112002012022120 has 256 divisors, whose sum is σ = 291608715340800. Its totient is φ = 38263388405760.

The previous prime is 112002012022091. The next prime is 112002012022123. The reversal of 112002012022120 is 21220210200211.

It is a happy number.

It is a super-2 number, since 2×1120020120221202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112002012022094 and 112002012022103.

It is not an unprimeable number, because it can be changed into a prime (112002012022123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13839364794 + ... + 13839372886.

It is an arithmetic number, because the mean of its divisors is an integer number (1139096544300).

Almost surely, 2112002012022120 is an apocalyptic number.

112002012022120 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 112002012022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145804357670400).

112002012022120 is an abundant number, since it is smaller than the sum of its proper divisors (179606703318680).

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

112002012022120 is a wasteful number, since it uses less digits than its factorization.

112002012022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11228 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112002012022120 its reverse (21220210200211), we get a palindrome (133222222222331).

The spelling of 112002012022120 in words is "one hundred twelve trillion, two billion, twelve million, twenty-two thousand, one hundred twenty".