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2120598020000 = 255417371011669
BaseRepresentation
bin11110110110111101011…
…111011101111110100000
321111201122010022000200102
4132312331133131332200
5234220441043120000
64302104515041532
7306131252522015
oct36667537357640
97451563260612
102120598020000
11748382331209
122a2b9bba02a8
13124c82603015
14748cd3c570c
153a26570e3d5
hex1edbd7ddfa0

2120598020000 has 480 divisors, whose sum is σ = 5732767489680. Its totient is φ = 768614400000.

The previous prime is 2120598019997. The next prime is 2120598020029. The reversal of 2120598020000 is 208950212.

It can be written as a sum of positive squares in 40 ways, for example, as 297849611536 + 1822748408464 = 545756^2 + 1350092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1270579166 + ... + 1270580834.

Almost surely, 22120598020000 is an apocalyptic number.

2120598020000 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 2120598020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866383744840).

2120598020000 is an abundant number, since it is smaller than the sum of its proper divisors (3612169469680).

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

2120598020000 is a wasteful number, since it uses less digits than its factorization.

2120598020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 2120598020000 in words is "two trillion, one hundred twenty billion, five hundred ninety-eight million, twenty thousand".