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10220220001200 = 243521122718231871
BaseRepresentation
bin1001010010111001010010…
…0101010010101110110000
31100012001011201000102111010
42110232110211102232300
52314422002310014300
633423034303550520
72103246402435156
oct224562445225660
940161151012433
1010220220001200
113290409828410
1211908b6bbb440
135919bb5c0441
142749388033d6
1512acb85dda50
hex94b94952bb0

10220220001200 has 480 divisors, whose sum is σ = 35911219249152. Its totient is φ = 2464043648000.

The previous prime is 10220220001183. The next prime is 10220220001279. The reversal of 10220220001200 is 210002202201.

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 95 ways as a sum of consecutive naturals, for example, 5462436265 + ... + 5462438135.

Almost surely, 210220220001200 is an apocalyptic number.

10220220001200 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 10220220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955609624576).

10220220001200 is an abundant number, since it is smaller than the sum of its proper divisors (25690999247952).

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

10220220001200 is a wasteful number, since it uses less digits than its factorization.

10220220001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10220220001200 its reverse (210002202201), we get a palindrome (10430222203401).

The spelling of 10220220001200 in words is "ten trillion, two hundred twenty billion, two hundred twenty million, one thousand, two hundred".