1007006121 has 64 divisors (see below), whose sum is σ = 1723392000. Its totient is φ = 575346240.

The previous prime is 1007006113. The next prime is 1007006123. The reversal of 1007006121 is 1216007001.

It is not a de Polignac number, because 1007006121 - 2³ = 1007006113 is a prime.

It is a super-2 number, since 2×1007006121² = 2028122655462933282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007006094 and 1007006103.

It is not an unprimeable number, because it can be changed into a prime (1007006123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369000 + ... + 371718.

It is an arithmetic number, because the mean of its divisors is an integer number (26928000).

Almost surely, 2^1007006121 is an apocalyptic number.

1007006121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1007006121 is a deficient number, since it is larger than the sum of its proper divisors (716385879).

1007006121 is a wasteful number, since it uses less digits than its factorization.

1007006121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1007006121 is about 31733.3597496389. The cubic root of 1007006121 is about 1002.3299408263.

The spelling of 1007006121 in words is "one billion, seven million, six thousand, one hundred twenty-one".