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22002120000 = 26325478731
BaseRepresentation
bin10100011111011011…
…011011010101000000
32002210100212111120100
4110133123123111000
5330030020320000
614035125442400
71406142635310
oct243733332500
962710774510
1022002120000
119370694453
124320570400
1320c8414c23
1410ca173440
1588b8eba00
hex51f6db540

22002120000 has 420 divisors, whose sum is σ = 90074491936. Its totient is φ = 5028480000.

The previous prime is 22002119977. The next prime is 22002120047. The reversal of 22002120000 is 2120022.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2515635 + ... + 2524365.

Almost surely, 222002120000 is an apocalyptic number.

22002120000 is a gapful number since it is divisible by the number (20) 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 22002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45037245968).

22002120000 is an abundant number, since it is smaller than the sum of its proper divisors (68072371936).

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

22002120000 is an equidigital number, since it uses as much as digits as its factorization.

22002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22002120000 its reverse (2120022), we get a palindrome (22004240022).

The spelling of 22002120000 in words is "twenty-two billion, two million, one hundred twenty thousand".