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212021223120 = 243257211199373
BaseRepresentation
bin1100010101110101110…
…0110001111011010000
3202021021010100002111100
43011131130301323100
511433204413114440
6241222354344400
721214040442510
oct3053534617320
9667233302440
10212021223120
1181a104a9043
123511158b100
1316cbb9a4a55
14a394865840
1557ad9d8230
hex315d731ed0

212021223120 has 240 divisors, whose sum is σ = 817618419072. Its totient is φ = 48232074240.

The previous prime is 212021223109. The next prime is 212021223157. The reversal of 212021223120 is 21322120212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021223093 and 212021223102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963754 + ... + 1163126.

Almost surely, 2212021223120 is an apocalyptic number.

212021223120 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 212021223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408809209536).

212021223120 is an abundant number, since it is smaller than the sum of its proper divisors (605597195952).

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

212021223120 is a wasteful number, since it uses less digits than its factorization.

212021223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199610 (or 199601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212021223120 its reverse (21322120212), we get a palindrome (233343343332).

The spelling of 212021223120 in words is "two hundred twelve billion, twenty-one million, two hundred twenty-three thousand, one hundred twenty".