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990000200121120 = 253352153844712601
BaseRepresentation
bin1110000100011001100110001…
…0010000010111101100100000
311210211022002120010111020121000
43201012121202100113230200
52014230130402212333440
613425315451403432000
7415346103600535536
oct34106314220275440
94724262503436530
10990000200121120
112674987aa797581
1293050807b25600
13336538064c9616
14136683a019c156
15796c29cc38730
hex3846662417b20

990000200121120 has 384 divisors, whose sum is σ = 3467295616942080. Its totient is φ = 263825256038400.

The previous prime is 990000200121113. The next prime is 990000200121133. The reversal of 990000200121120 is 21121002000099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78565202820 + ... + 78565215420.

It is an arithmetic number, because the mean of its divisors is an integer number (9029415669120).

Almost surely, 2990000200121120 is an apocalyptic number.

990000200121120 is a gapful number since it is divisible by the number (90) 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 990000200121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733647808471040).

990000200121120 is an abundant number, since it is smaller than the sum of its proper divisors (2477295416820960).

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

990000200121120 is a wasteful number, since it uses less digits than its factorization.

990000200121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23225 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 990000200121120 in words is "nine hundred ninety trillion, two hundred million, one hundred twenty-one thousand, one hundred twenty".