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10112020212000 = 2535371012394987
BaseRepresentation
bin1001001100100110001101…
…0111110110100100100000
31022210200220002000122002010
42103021203113312210200
52311133404133241000
633301221542552520
72062366200420540
oct223114327664440
938720802018063
1010112020212000
113249535876323
12117393b138740
13584737058535
1426d5d274d320
15128084591d50
hex932635f6920

10112020212000 has 768 divisors, whose sum is σ = 38401924055040. Its totient is φ = 2278402560000.

The previous prime is 10112020211999. The next prime is 10112020212029. The reversal of 10112020212000 is 21202021101.

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 127 ways as a sum of consecutive naturals, for example, 2027673507 + ... + 2027678493.

It is an arithmetic number, because the mean of its divisors is an integer number (50002505280).

Almost surely, 210112020212000 is an apocalyptic number.

10112020212000 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 10112020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200962027520).

10112020212000 is an abundant number, since it is smaller than the sum of its proper divisors (28289903843040).

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

10112020212000 is a wasteful number, since it uses less digits than its factorization.

10112020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112020212000 its reverse (21202021101), we get a palindrome (10133222233101).

The spelling of 10112020212000 in words is "ten trillion, one hundred twelve billion, twenty million, two hundred twelve thousand".